Ask Question
3 September, 14:43

A 21-foot tree casts a 38-foot shadow directly down a slope when the angle of elevation of the sun is 32 degrees. Find theta, the angle of elevation of the ground (to the nearest tenth of a degree)

+5
Answers (1)
  1. 3 September, 16:33
    0
    3.97°

    Step-by-step explanation:

    Let

    θ = desired angle

    α = 32° - θ = the angle above ground to the top of the slope

    θ = 32° - a

    If angle of the sun is 32° above a level horizon, then the angle at the top of the slope is given as δ = 90 - 32 = 58°. Now we can measure a

    38/sin (58°) = 21/sin a

    sin a = [21 sin (58°) ]/38

    Sin a = 0.47

    a = arcsin 0.47 = 28.03

    Since,

    θ = 32° - a

    θ = 32° - 28.03° = 3.97°
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A 21-foot tree casts a 38-foot shadow directly down a slope when the angle of elevation of the sun is 32 degrees. Find theta, the angle of ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers