Question

Keisha looks out the window from a tall building at her friend Monique standing on the ground, 8.3 m away from the side of the building, as shown. If Keisha's line of sight makes a 30° angle with the side of the building, what is Keisha's height above the ground? Assume Monique is 1.5 m tall. A. 14 m B. 15 m C. 16 m D. 17 m

Answer 1

Step-by-step explanation:

GIVEN DATA:

Distance between keisha and her friend 8.3 m

angle made by keisha toside building 30 degree

height of her friend monique is 1.5 m

from the figure

`\Delta ACB`

`tan 30 = (8.3)/(h)`

`h= (8.3)/(tan 30) = 14.376 m`

therefore

height of keisha is
`= h  + 1.5 m`

= 14.376 + 1.5

`= 15.876 \simeq 16 m`

therefore option c is correct