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Jada is standing 26 feet from the base of a tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 74°. Find the height of the nest

Sagot :

MrRoyal

Answer:

The height of the building is 90.67ft

Explanation:

Given

[tex]\theta = 74^\circ[/tex]

[tex]d = 26[/tex]

Required

Determine the height of the nest

See attachment for illustration.

From the attachment, we have:

[tex]tan\theta = \frac{Opp}{Adj}[/tex]

This gives:

[tex]tan(74)= \frac{h}{26}[/tex]

Make h the subject

[tex]h = 26 * tan(74)[/tex]

[tex]h = 26 * 3.4874[/tex]

[tex]h = 90.6724[/tex]

[tex]h = 90.67[/tex]

The height of the building is 90.67ft

View image MrRoyal
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