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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

Respuesta :

Answer:

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

[tex]\Delta ACB[/tex]

[tex]tan 30 = \frac{8.3}{h}[/tex]

[tex]h= \frac{8.3}{tan 30} = 14.376 m[/tex]

therefore

height of keisha is [tex]= h  + 1.5 m[/tex]

                               = 14.376 + 1.5

[tex]= 15.876 \simeq 16 m[/tex]

therefore option c is correct

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