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Aditya wants to know the angle of elevation when he looks up at a palm tree. He walks exactly


32
feet from the base of the palm tree and looks up. The top of the palm tree is





23.25
feet above his eye level.
What is the angle of elevation from Aditya's eye level to the top of the palm tree?
The angle of elevation is approximately __________

°
.

Respuesta :

Ferraz
Good evening!

We can solve this problem noting that we have a right-angled triangle. You can see in the attachment a draft of the problem.

We want to discover the angle θ.

Note that the tangent of the angle gives a information about this angle.


tangent = opposite / adjacent

[tex]\mathsf{tan(\theta) = \dfrac{23.25}{32}}\\ \\ \mathsf{tan(\theta) \approx 0.7266}\\ \\ \mathsf{\theta = arctan(0.7266)}\\ \\ \boxed{\mathsf{\theta\approx 36^\circ}}[/tex]
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