If a kite is 40 feet off the ground and the string holding the kite is 42 feet long, what is the angle of elevation to the kite

Answers

Answer 1

Answer:

By comparing the given situation with a right triangle, we will find that the elevation angle is 72.2°

So let's think of the given situation as a right triangle, where the height is one cathetus (the opposite one to the elevation angle) and the length of the string is the hypotenuse.

Then we can just use the relation:

Sin(θ) = (opposite cathetus)/hypotenuse

Where:

opposite cathetus = 40ft
hypotenuse = 42ft.

Replacing that we get:

Sin(θ) = 40ft/42ft

θ = Asin(40/42) = 72.2°

Thus, the elevation angle is 72.2°

If you want to learn more about right triangles, you can read:

brainly.com/question/20142200

Answer 2

Answer: In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.

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Write the expression as the sine, cosine, or tangent of an angle.sin 9x cos x - cos 9x sin x

Answers

Answer:

$\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

Step-by-step explanation:

Given : Expression $\sin (9x) \cos (x) - \cos (9x)\sin (x)$

To write : The given expression as the sine, cosine, or tangent of an angle?

Solution :

The given expression is in the form $\sin A\cos B-\cos A \sin B$

Using trigonometric identity,

$\sin (A-B)=\sin A\cos B-\cos A \sin B$

Substituting, A=9x , B=x

$\sin (9x-x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

$\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

Therefore, The given expression is in the sin form sin(8x).

Answer:

sin 8x

Step-by-step explanation:

4. Classify the triangle by its sides. The lengths of the sides are 9, 9, and 9.A) equilateral
B) scalene
C) obtuse
D) isosceles

7. Line a is parallel to line b and m.(Angle 7 ) = 135 Find m(angle 4)
A) 135
B) 145
C) 45
D) 35

8. Find the values of x and y for which the lines are parallel.
A) x = 68, y = 72
B) x = 46, y = 72
C) x = 68, y = 74
D) x = 72, y = 68

11.Look at the figure. If Angle 1 Is Congruent To angle 2 , describe the relationship between lines a and b.
A) The lines are perpendicular.
B) The lines are parallel.
C) The lines intersect.
D) The lines are transversals.

12. Find the value of x for which the lines are parallel.
A) 63
B) 71
C) 64
D) 72

Answers

Answer:

4. Option A is correct.

7. Option C is correct.

8. Option A is correct.

11. Option B is correct.

12. Option C is correct

Step-by-step explanation:

The sides of equilateral triangle are same.

It is given that lengths of the sides are 9, 9, and 9.

Since the side lengths are same, therefore the given triangle is an equilateral triangle.

Option A is correct.

It is given that the line a is parallel to line b and the measure of angle 7 is 135 degree.

$\angle 6+\angle 7=180^(\circ)$ (Supplementary angles)

$\angle 6+135^(\circ)=180^(\circ)$

$\angle 6=45^(\circ)$

$\angle 4=\angle 6$ (Alternative interior angles)

$\angle 4=45^(\circ)$

Option C is correct.

$x-3=65$ (Corresponding angles)

$x=68$

$46+65+y-3=180$ (Supplementary angles)

$y=72$

Option A is correct.

11.

If a transversal line intersect two lines are parallel lines, then their corresponding angles are same.

It is given that

$\angle 1=\angle 2$

Since angle 1 and 2 are corresponding angles, therefore we can say that the lines a and b are parallel.

Option B is correct.

12.

$x-1=63$ (Corresponding angles)

$x=64$

Option C is correct.

The answer to #4 is A equilateral because all the sides are the same. the sides are equal.
# 7 would be c, 45 you have to make sure the sum is 180 #8 is B the same goes for that on fill in x and y. #11 isD And # 12 is c the sum must be 180.

How many pennies does it take to make 40 dollars?

Answers

There are one hundred pennies in a dollar. And you need 40 dollars (100x40)=4000

100 pennies = a dollar
100 x 40 = 4,000

Lucy wants to plant 16 roses, 24 sunflowers, and 32 lilies in her garden. She wants to plant only one type of flower in each row, and she wants each row to have the same number of plants. The maximum number of flowers she can plant in each row is ___. If she plants the maximum number of flowers in each row and uses all of the flowers, she can plant ____ rows of flowers.

Answers

Answer:

First part is 8.

Second part is 9.

Step-by-step explanation:

Lucy wants to plant 16 roses, 24 sunflowers, and 32 lilies in her garden.

She wants to plant only one type of flower in each row, and she wants each row to have the same number of plants.

We will take the greatest common factor of 16, 24 and 32

16 = 2 x 2 x 2 x 2

24 = 2 x 2 x 2 x 3

32 = 2 x 2 x 2 x 2 x 2

Now the greatest common factor is = 2 x 2 x 2 = 8

Therefore, the maximum number of flowers she can plant in each row is 8.

All flowers are = $16+24+32=72$

If she plants the maximum number of flowers in each row and uses all of the flowers, she can plant $(72)/(8)=9$ rows of flowers.

Or we can also find this by :

$(16)/(8)=2$

$(24)/(8)=3$

$(32)/(8)=4$

Totaling these we get = $2+3+4=9$ rows.

8 and 9

.........................................................................

Explain how to do this please

Answers

Answer:

Step-by-step explanation:

we know that it is less then 90 degrees so it can't be 110 and 70 degrees would be more extended from the horizontal line

Answer:

70°is your ans

Step-by-step explanation:

110+x=180° {being alternate interior angle}

x=180-110

x=70°

A right cylinder has a diameter of 40 mm and a height of 30 mm, as shown. Semester Test, Part 1 What is the volume of the cylinder?a. 37,680 mm3
b. 1256 mm3
c. 150,720 mm3
d. 12,000 mm3