From a point on the ground one-half mile from the base of a historic computations. monument, the angle of elevation to its top is 11.87°. to the nearest foot, what is the height of the monument?

the height of the monument is equal to 554.89 ft.

Explanation:

given,

distance from monument = 0.5 mile

angle of elevation = 11.87°

height of the monument = ?

tan θ =

tan 11.87° =

h = 0.2101 × 0.5

h = 0.1051 mile

we know,

1 mile  = 5280 ft                                                                

h = 0.1051 × 5280 = 554.89 ft                      

hence , the height of the monument is equal to 554.89 ft.

answer; self_ disclosure;