Question

Deshaun is looking up at a flag that is 50 feet away from him at an angle of elevation from ground level of 35°
What is the flagpole’s height, x, and the distance between Deshaun and the top of the flagpole, y?(1 point)
Responses

x=71.41 ft.
and y=87.17 ft.
x equals 71.41 ft. and y is equal to 87 point 1 7 ft.

x=35.01 ft.
and y=61.04 ft.
x equals 35.01 ft. and y is equal to 61 point 0 4 ft.

x=61.04 ft.
and y=35.01 ft.
x equals 61.04 ft. and y is equal to 35 point 0 1 ft.

x=35.01 ft.
and y=35.70 ft.

Answer 1

Use right-triangle trig:

x = 50·tan(35°) ≈ 50·0.7002 ≈ 35.01 ft
y = 50 / cos(35°) ≈ 50 / 0.8192 ≈ 61.04 ft

So the correct choice is: x = 35.01 ft and y = 61.04 ft.