Question

A bird is perched on a light pole that is 13 feet tall. You spot the bird as you’re walking across the street. If you are 5 feet tall, and the diagonal distance from you to the bird is 10 feet, what is the angle of elevation you are using to look at the bird? Use the inverse of sine to find your answer and round to the nearest whole degree.(1 point)
≈

°

Answer 1

Let the angle of elevation be θ. The vertical difference is 13 − 5 = 8 ft and the hypotenuse is 10 ft, so

sin θ = 8/10 = 0.8 → θ = arcsin(0.8) ≈ 53.13°.

Rounded to the nearest degree: 53°.