Problema Solution
The First State Bank and a hospital are 40 meters apart. From a window in the bank, the angle of elevation to the top of the hospital is 77 degrees. From the same window the angle of depression to the ground at the base of the hospital is 61 degrees. Find the height of the hospital rounded to the nearest tenth
Answer provided by our tutors
Using the Pythagorean Theorem we find:
√(61^2 - 40^2) + √(77^2 - 40^2) = 111.8 meters
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The height of the hospital is 111.8 meter to the nearest tenth.