Respuesta :
angle of elevation, aoe = 59 deg
height, h = 40ft
distance from pole, dfp
using
tan 59deg = h/dfp
=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft
Answer:
24.04 ft
Step-by-step explanation:
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole
Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg, the pole itself and line joining Kurt leg and top of pole.
This is right angled and since angle of elevation is given as 59
we have
height of pole/distance of Kurt from base = tan 59
i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]
where d is the required distance of Kurt from the pole.
Hence x = 24.038
=24.04 feet