Question

A)
Roger fastens a rope to the ground that extends from a pole that has been placed in the ground. Therope is 8 feet long, and the pole is 5 feet tall. Using the inverse of sine, what is the angle formed wherethe rope is fastened to the ground? Round your answer to the nearest whole degree.
(1 point)
≈
°
A)
A bird is perched on a light pole that is 13 feet tall. You spot the bird as you’re walking across thestreet. If you are 5 feet tall, and the diagonal distance from you to the bird is 10 feet, what is the angle ofelevation you are using to look at the bird? Use the inverse of sine to find your answer and round to thenearest whole degree.
(1 point)
≈

Answer 1

1) sin θ = 5/8 → θ = arcsin(5/8) ≈ 38.7° ≈ 39°

2) vertical difference = 13 − 5 = 8, sin θ = 8/10 → θ = arcsin(0.8) ≈ 53.1° ≈ 53°