MATHEMATICS MIDDLE SCHOOL

In the figure below, Sin 62 degrees - 17/c. Based on the figure, which of the following equations is also true ?A. Cos 62 degrees = 17/c
B. Tan 62 degrees = c/17
C. Cos 28 degrees = 17/c
D. Sin 28 degrees = c/17

Answers

Answer 1

Answer:

Answer:

Therefore Based on the Figure only the third option i.e C. ic True

$\cos 28\° = (17)/(c)$

Step-by-step explanation:

Given:

Let label the figure first such that

In Δ ABC , ∠C = 90° , ∠ B = 62°,

$\sin 62\°=(17)/(c)$

AB = Hypotenuse = c

AC = 17

To Find:

True Statements

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

$\angle A+\angle B+\angle C=180$

Substituting the values we get

$\angle A +62+90=180\n\angle A=180-152=28\n\angle A=28\°$

In Right Angle Triangle ABC , Cosine Identity we have

$\cos A = \frac{\textrm{side adjacent to angle A}}{Hypotenuse}\n$

Substituting the values we get

$\cos 28\° = (AC)/(AB)=(17)/(c)\n\n\cos 28\°=(17)/(c)$

Here in this figure

$\tan B = \frac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

$\sin A = \frac{\textrm{side opposite to angle A}}{Hypotenuse}\n$

Substituting we get

$\tan 62\° = (17)/(BC)$

$\cos 62\° = (BC)/(c)$

$\sin 28\° = (BC)/(c)$

Therefore Based on the Figure only the third option i.e C. is True

$\cos 28\° = (17)/(c)$

Related Questions

In a hat, you have index cards with the numbers 1 through 10 written on them. Find how many of the 10 possible numbers you can pick match the described event, then drag and drop each of the numbers into the correct box to order the events from least likely to happen (1) to most likely to happen (8) when you pick one card at random.A. You pick a number greater than 0. B. You pick an even number. C. You pick a number that is at least 2. D. You pick a number that is at most 0. E. You pick a number divisible by 3. F. You pick a number divisible by 5. G. You pick a prime number. H. You pick a number less than the greatest prime number among thenumbers 1 through 10.
The inequality 6(x + 2) > 7(x − 5) is equivalent to which of the following inequalities?A. x < −23 B. x < 07 C. x < 17 D. x < 37 E. x < 47
Solve for x. Show your work 10=4(3a+2)
Please help me as soon as possible No comments only the answer
Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x) − 3?

1.explain how you could use what you have learned to calculate the height of the leaning tower of pisa on a sunny day. 2.research other real-world situations where triangulation is used. post your findings for your fellow students to see. what questions do you still have about the unit?

Answers

Answer:

1. The slant height of the tower of Pisa is $√(H_v^2 + L_s^2)$

Where:

$H_v$ = Vertical height of the tower of Pisa (Required)

$L_s$ = Length of from the base of the tower to the point where the top is directly up above

2. Calculation of time using the length our shadow

Step-by-step explanation:

1) As the sun is rising, we measure the our shadow and the measure the shadow cast by the leaning side of the tower of Pisa, then we use similar triangles to calculate the vertical height of the tower of Pisa as follows;

$(Our \, Height \, (known))/(Length \, of \, our \, shadow \, (known)) = ( Vertical \, height \, of \, the \, tower \, of \, Pisa \, (Required) \, H_v)/(Length \, of \, the \, shadow \, cast \, by \, the \, slant \, side \, of \, the \, tower \, of \, Pisa, \ L_V)$

$Vertical \, height \, of \, the \, tower \, of \, Pisa \, (Required) \, H_v} = (Our \, Height \, (known) * L_v)/(Length \, of \, our \, shadow \, (known))$

Then, at exactly noon, or when the Sun is directly overhead the tower casting a shadow, we measure the length of the covering from the the base to end of the shadow where the tip is directly up ahead (which can be done by measuring the base of the tower to the point where the top of the tower is directly up above), we call this length $L_s$

Then, the slant height of the tower of Pisa = $√(H_v^2 + L_s^2)$

2. Other real world situation is the calculation of the time of the day using our shadow and triangulation.

A building that is 100 for tall casts a shadow that makes a 30 degree angle. Approximately how long in feet is the shadow across the ground?

Answers

Answer: 173.20 ft

Step-by-step explanation:

Observe the attached image. To know how long the shadow is, we must find the length of the adjacent side in the triangle shown. Where the opposite side represents the height of the building

By definition, the function $tan (x)$ is defined as

$tan(x) = (opposite)/(adjacent)$

$opposite = 100\ feet\nx=30\°$

$adjacent = l$

Then

$tan(30\°) = (100)/(l)$

$l = (100)/(tan(30\°))$

$l = 173.20\ ft$

Hello!

The answer is:

The shadow is 173.20 feet

Why?

To solve the problem, we need to calculate the projection of the building's shadow over the ground.

We already know the height of the building (100 feet), also, we know the angle of elevation (30°), so, we can use the following formula to calculate it:

$Tan(\alpha)=(y)/(x)=(height)/(x)\n\nx=(height)/(Tan(\alpha) )$

Now, substituting the given information and calculating, we have:

$x=(height)/(Tan(\alpha) )$

$x=(100feet)/(Tan(30\°) )=173.20feet$

Have a nice day!

Select all rational numbers I need help asap

Answers

the correct answers are a, c, & d. any numbers including a square root sign or pi are not rational numbers!

How do you find approximate pi

Answers

Everyone knows pi as 3.14 or the never ending pit of numbers because this has no stopping point and can't be ended unless rounded.

the approximation of pi is 3.14 for pi is a irrational number it keeps on going forever.

winnie wrote the following riddle i am a number between 60 and 100 my ones digit is two less than my tens digits im a prime number. Winnies friend guessed that her riddle was about 79. Why cant 79 be the answer.

Answers

The answer is that 79 IS NOT correct because the riddle says "my ones digit is 2 LESS than my tens digit.." and 79 has 7 in tens and 9 in ones which means the ones digit is 2 MORE than the tens digit.

To solve
x has to be more than 60 and less than 100
the primes between those are 61,67,71,73,79,83, 89, 97
97 is two less in the ones than in the tens so it completes all of the requirements of the riddles therefore, 97 is the answer.

How is the quotient of 8,552 and 16 determined using an area model?Enter your answers in the boxes to complete the equations.

8,552 = 16 = (

+ 16 ) + ( 480 = 16 ) + (

= 16 ) + (8 + 16)

8,552 = 16 =

+ 30+

+

8,552 = 16 =

Answers

Answer:

It is 88

Step-by-step explanation:

It is so because fist you do all the math leading it to be 88.

Final answer:

An area model visualizes the process of solving division. To determine the quotient of 8,552 and 16, draw a rectangle for the dividend (8,552), divide it into parts for the divisor (16), fill in each part until the area is filled, and then add up all parts of the quotient, which will lead you to the result 534.

Explanation:

An area model is a mathematical representation that helps show the product of two numbers in terms of areas. To find the quotient of 8,552 and 16, let's follow some steps:

Draw a rectangle and label the area 8,552 - this will represent our dividend.
Then we separate this rectangle into several parts. The number of these parts will represent our divisor i.e., 16.
Each separate part or subsection represents a part of the final quotient. The area that is equal to 480 will give us 480/16 = 30. Continue filling the areas until the entire area (8,552) is filled.
At the end, sum all parts of the quotient to get the final answer.

So, if you repeat these steps properly, you should find that 8,552 divided by 16 equals 534.