Question

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

Answer 1

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

$\mathsf{tan(\theta) = \dfrac{23.25}{32}}\\ \\ \mathsf{tan(\theta) \approx 0.7266}\\ \\ \mathsf{\theta = arctan(0.7266)}\\ \\ \boxed{\mathsf{\theta\approx 36^\circ}}$