Bill determines that the angle of elevation to the top of the building measures 40 degrees, 30'. If he walks 102 ft. closer to the building, the measure of the new angle of elevation will be 50 degrees, 20'. How do you find the height of the building?
1 Answer
Oct 24, 2015
Find the height of building
Ans:
Explanation:
The height h in position 1 -->
h = (102 + x)(tan (40.5) = 0.85(x + 102) = 0.85x + 86.7
The building 'height in position 2
h = x.tan (50.33) = 1.21x
Compare the height in 2 position, we get:
0.85x + 86.7 = 1,21x
0.36x = 86.7
The building' height: