MATHEMATICS HIGH SCHOOL

A firefighter is attempting to escape a burning building. If the window is of the man's apartment is 18 feet above the ground and the ladder is 25 feet long, what is the angle of elevation?

Answers

Answer 1
Answer:

Answer:

37.75⁰

Step-by-step explanation:

Height of the building = 18 feet (vertical height)

Height of the ladder = 25 feet (Hypotenuse)

We solve this using tan θ = (adjacent)/(hypotenuse)

therefore θ = tan⁻¹ ((18)/(25))

θ (Angle of elevation) = 37.75⁰

Related Questions

Whats the unit rate of 750 yards in 25 minutes
A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?
Given the function f(x) = 2(x + 8), find x if f(x) = 12.A) 2 B) 40 C) −2 D) 14
Convert to fractional notation 1 4/7
What is the period of a cosine and sine function

Select all the fractions that are equivalent to 4.05

Answers

Answer:81/20 or 405/100

Step-by-step explanation:

In aboard game you determine the number of spaces you msy move by spinning a spinner and rolling a die. The spinner has three regions: half of the spinner is marked"5" and the other half is equally divided between "10" and "20". The six faces of the die show 0,0,1,2,3,and 4 spots. When its your turn, you spin and roll, adding the numbers together to determine how far you may movefind the mean and standard deviation of the spiner results after you create a probability model for the outcome on the spinner

Answers


what do u think the answer is? then I can help walk u thru it.

A sphere has a radius of 5 inches. What is its volume?4
Sphere V= 3
2. Substitute the radius into the formula:
V = 4659
2. Evaluate the power
V = 4(125)
3 Simplify:
VE
It in

Answers

The volume of a sphere with a radius of 5 inches should be 523.6

Is the number rational or irrational?Column A Column B
1. 3/7 A. Rational
2. 0.78( repeating) B. Irrational
3. Square root 7/9
4. 5 pi

Answers

1 and 2 are both rational.
3 and 4 are both not.

$800 is deposited in an account that pays 9% compounded semi-annually. Find the balance after 4 years.

Answers

The formula for compound interest is the following:

A=P(1+r/n)^nt
A=accumulated amount (what we're looking for)
P=Principal amount (initial amount). $800 in this case
r=rate. 0.09 in this case which we get from converting 9% to decimal by dividing by a 100.
n=number of times interest is compounded. In this case semi-annually which means 2
t=time. In this case 4 years
Let's calculate:
A=800(1+0.09/2)^(2*4)
A=800(1+0.045)^8
A=800(1.045)^8
A=800(1.42210061284)
A=1137.68049027
Let's round to the hundredth place (to represent cents) since the amount represents money.
Answer=The balance after 4 years will be $1,137.68

Answer:

Principal = $ 800

Time = 4 years

Rate of Interest = 9% compounded Semi Annually

          =(9\pr)/(2)

Time = 4× 2=8 periods

As, we have to find balance after 4 years, so we will use the formula for amount in terms of Compound interest.

Amount(A)

      A=P[1+(R)/(100)]^n\n\n A=800* [1+(9)/(200)]^8\n\n A=800 * [(209)/(200)]^8\n\n A=800 * (1.045)^8\n\n A=800 * 1.422\n\n A=1137.680

Balance after 4 years = $ 1137.68

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3? f(x) = (x + 3)2 + 3
f(x) = (x + 3)2 − 6
f(x) = (x + 6)2 + 3
f(x) = (x + 6)2 − 6

Answers

complete the square
move the 3 aside and work in parenthasees
f(x)=(x^2+6x)+3
take 1/2 of 6 and square it (6/2=3, 3^2=9)
add 9 and -9 inside
f(x)=(x^2+6x+9-9)+3
factor perfect square
f(x)=((x+3)^2-9)+3
get rid of parenthases
f(x)=(x+3)^2-9+3
f(x)=(x+3)^2-6

2nd choice

Answer:

f(x) = (x+3)2+3

Step-by-step explanation:
Other Questions
What percent is equivalent to the fraction 37/50?
Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?
If we buy 20 pickles, what is the experimental probability of winning 5 or more tickets?
PLEASE HELP!!!!! 15 PTSExplain how the Quotient of Powers was used to simplify this expression. (2 points) 2^5/8 = 2^2 By finding the quotient of the bases to be,1/4 and cancelling common factors By finding the quotient of the bases to be, 1/4 and simplifying the expression By simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents By simplifying 8 to 2^3 to make both powers base two, and adding the exponents