Will give BRAINLIEST

A bird fountain is located 6 m from the base of Joey's apartment building. From his window, joey can see it at a 51 degree angle of depression.
To the nearest tenth of a meter, how far up the building is Joey's window?
A) 4.9 m
B) 7.4 m
C) 7.7 m
D) 9.5 m

Respuesta :

Let
 h------------> height of window 


we know that

tan 51°=h/6-------> h=6*tan 51°-------> h=7.4 m

the answer is 
h=7.4 m

see the attached figure
Ver imagen calculista

Answer:

Option B. 7.4 m.

Step-by-step explanation:

Angle of depression given = 51°

Distance of the fountain from the building = 6 m

We have to find the height of the window from the ground.

Now tan 51° = height of window/ distance of building from the fountain.

1.23 = height of window/6

height of window = 6×1.23 = 7.40 m.

Option B. is the answer.