Question

Stavros is looking up at a tree that is 42 feet away from him, at an angle of elevation of 23°
. What is the tree’s height, x, and the distance between Stavros and the top of the tree, y? (1 point)
Responses

x=17.83 ft.
and y=38.03 ft.
x equals 17.83 ft. and y equals 38.03 ft.

x=45.63 ft.
and y=17.83 ft.
x equals 45.63 ft. and y equals 17.83 ft.

x=17.83 ft.
and y=45.63 ft.
x equals 17.83 ft. and y equals 45.63 ft.

x=98.95 ft.
and y=107.49 ft.

Answer 1

x = 42·tan(23°) ≈ 42(0.42447) ≈ 17.83 ft.
y = 42 / cos(23°) ≈ 42/0.92050 ≈ 45.63 ft.

So x = 17.83 ft and y = 45.63 ft.