Question

a fisherman floats 58ft. out from the shore. he notices a bird in the sky directly above the shoreline. if the angle of elevation from the fisherman to the bird is 23 degrees, how far is the fisherman from the bird.

Answer 1

63 ft

Explanation:

We solve this question using Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

From the question:

θ = 23°

Adjacent = The distance of the fisherman from shore = 58 ft

Hypotenuse = The distance of the fisherman from the bird = x ft

Hence:

Cos 23 = 58/x

Cross Multiply

Cos 23 × x = 58

x = 58/Cos 23

x = 63.00890189 ft

Approximately = 63 ft

The distance of the fisherman from the bird is 63 ft