The angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- A cell phone tower that is 70 meters tall is built on level ground and casts a shadow 230 meters long at a particular moment.
The angle of elevation will be calculated by applying trigonometric property in the triangle given below;-
[tex]tan\theta=\dfrac{P}{B}[/tex]
[tex]tan\theta=\dfrac{70}{230}[/tex]
[tex]\theta=tan^{-1} (\dfrac{70}{230})[/tex]
[tex]\theta[/tex] = tan[tex].^{-1}[/tex](0.3043)
[tex]\theta[/tex] = 16.9
Therefore angle of elevation of the sun relative to an observer standing at the tip of the shadow is 16.9°.
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