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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° angle of depression.


To the nearest tenth of a meter, how far up the building is Joey's window?


Question 5 options:


4.9 m



7.4 m



7.7 m



9.5 m

Respuesta :

Answer:

h = 7.4 m

Step-by-step explanation:

Given that,

A bird fountain is located 6 m from the base of Joey's apartment building.

The angle of depression is 51°.

Let Joey's window is at a distance of h from the building. Using trigonometry to find it such that,

[tex]\tan\theta=\dfrac{h}{6}\\\\\tan(51)=\dfrac{h}{6}\\\\h=6\times \tan(51)\\\\h=7.4\ m[/tex]

So, the correct option is equal to (b).

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