Question

Allan and Robert are viewing a kite in the air. The kite

has an altitude of 205 feet. The angles of elevation
from the ground are shown in the picture below.
What is the total distance between Allan (Point A)
and Robert (Point R)?
A. 292.9
B.166.0
C. 458.9
D. 24.5

Answer 1

`tan \: a = (opp)/(adj) = (205)/(adj)`

`adj = (205)/( \tan(35) )`

`adj = 292.7703414`

//

`tan \: r = (opp)/(adj) = (205)/(adj)`

`adj = (205)/( \tan(51) )`

`adj = 166.0057268`

//

`292.7703414 + 166.0057268`

`= 458.7760682 \: ft.`

round as you wish.