30 POINTS An observer (O) is located 400 feet from a building (B) . The observer notices a kite (K) flying at 29° angle of elevation from his line of sight. How high is the kite flying over the building? You must show all work and calculations to receive full credit.

Look at the image

The kite is about 221.72 feet above the building.

Step-by-step explanation:

The observer is located 400 feet away from building B. Their angle of elevation to a flying kite is 29°. We want to determine the height of the kite over the building. In other words, we want to find h.

Note that h is the opposite side to our 29° angle.

Likewise, we are given the adjacent side to our angle, which is 400 feet.

So, we can use the tangent ratio:

Our opposite side is the unknown h, our adjacent side is 400 (feet), and our angle θ is 29°. Hence:

Multiply both sides by 400:

Use a calculator:

The kite is about 221.72 feet above the building.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is