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.

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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.

1696 hundred thousand

step-by-step explanation: