If this sun is 66° above the horizon, find the length of the shadow cast by a building 61 feet tall. Round your answer to the ne

Question

3 years ago

12

arest tenth.

1 answer:

pishuonlain [190] · Answer 1 · 2022-03-15T18:38:25+03:00

Answer:

27.2 ft

Step-by-step explanation:

We solve using the Trigonometric function of tan

tan θ = Opposite/Adjacent

θ = 66°

Opposite = Height of the building = 61 ft

Adjacent = Length of the shadow = ? = x

tan 66 = 61/x

Cross Multiply

tan 66 × x = 61

x = 61 ft/tan 66

x = 27.158949804 ft

Approximately = 27.2 ft

The length of the shadow = 27.2 ft