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.
find the angle of elevation of the sun relative to an observer
standing at the tip of the shadow.

Question

06-06-2022
Mathematics

Answered

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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.
find the angle of elevation of the sun relative to an observer
standing at the tip of the shadow.

Sagot :

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 1 · 2022-06-14T08:52:26-04:00

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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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. find the angle of elevation of the sun relative to an observer standing at the tip of the shadow.

Sagot :

What is trigonometry?

Other Questions

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.
find the angle of elevation of the sun relative to an observer
standing at the tip of the shadow.