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you look up a 55° degree angles to see the top of a building. The vertical distance from the ground to your eye is 5.5 ft and the distance from you to the building is 57 feet estimate the height of the building

Respuesta :

ANSWER:

86.9 feet

STEP-BY-STEP EXPLANATION:

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We can calculate the value of h by means of the tangent trigonometric ratio, just like this

[tex]\begin{gathered} \tan 55=\frac{h}{57} \\ h=\tan 55\cdot57 \\ h=81.4 \end{gathered}[/tex]

now to calculate the total height of the building we use the value of h plus the height, it would be like this

[tex]81.4+5.5=86.9[/tex]

That is, the height of the building is 86.9 feet.

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