Mathematics
Grade9
Easy
Question
Taluka is standing 117 feet from the base of the Washington Monument in Washington, D.C. She uses her clinometer to measure the angle of the elevation to the top. The measured angle is . If Taluka’s eye height is 5' 6'‘, then the height of the monument is
- 550.4 feet
- 555. 9 feet
- 30.4 feet
- 24.9 feet
Hint:
Tan x = opposite side/ adjacent side
The correct answer is: 555. 9 feet
Height of the Washington Monument = h + 5 feet, 3 inches
We also have
Height of the Washington Monument = 550.44 + 5 feet, 3 inches
Height of the Washington Monument = 555.44 + 0.25
Height of the Washington Monument = 555.69 feets
sin x = opposite side/hypotenuse side
cos x= adjacent side / hypotenuse side
tanx = sinx / cosx