Question

HELP

"Two people are looking at the top of a totem pole, which is 55 feet tall. When the two people are looking at the top of the totem pool they are exactly 150 feet apart. The person closest to the totem pole has an angle of elevation to the top of the totem pool of 22 degree, as shown. "

"What is the value of x, rounded to the nearest hundredth?

x = _(blank)_ degrees

Type your numerical answer below."

Answer 1

The value of x to the nearest hundreth is 10.88

How to solve for x

We have tan 22 = AB / BD

tan 22 = 55 / k

cross multiply

ktan 22 = 55

k = 55 / tan 22

k = 136.129

tan x = 55 / k + 150

tan x = 55 / 136.129 + 150

tan x = 55 / 286.128

tan x = 0.1922

x = tan ⁻¹(0.1922)

x = 10.88