Question

A)
A bird is perched on a tree branch that is 23 feet tall. The diagonal distance between you and thebird is 28 feet. You are 5.5 feet tall. Using the inverse of sine, what is the angle of elevation you use tolook at the bird?
(1 point)
55°
50°
11°
39°
A)
Reggie is building a bike ramp out of wood in the shape of a right triangle— the slanted portion is theramp. He cuts a 48-inch-long wood plank that will act as the slanted portion and the base wood plank is45 inches long. Use the inverse of cosine to find the approximate angle of the ramp from the ground.
(1 point)
50°
70°
90°
2

Answer 1

A)
Eye-to-bird vertical difference = 23 − 5.5 = 17.5 ft.
sin θ = opposite/hypotenuse = 17.5/28 = 0.625 → θ = arcsin(0.625) ≈ 38.7° → 39°.

B)
cos θ = adjacent/hypotenuse = 45/48 = 0.9375 → θ = arccos(0.9375) ≈ 20.3°.
(Approximately 20°, which is not listed among the given choices.)