KatieT2024
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Find, to the nearest degree, the angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long.

Trigonometry

Respuesta :

orlaith2005

Answer:

Θ = 52°

Step-by-step explanation:

Once you've set up the triangle, you can see that the adjacent side is 170 cm and the opposite side is 220 cm.

tanΘ = [tex]\frac{220}{170}[/tex]

Θ = tan-1 (220/170)

Θ = 52°

The angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long is 37.694°.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

A person 170 cm tall casts of shadow 220 cm long.

Then the angle will be

[tex]\rm tan \theta = \dfrac{Perpendicular }{Base}[/tex]

We have

Perpendicular = 170 cm

Base = 220 cm

Then

[tex]\rm tan \theta = \dfrac{170}{220}\\\\\\ \theta \ \ \ \ = tan^{-1} \dfrac{170}{220}\\\\\\\theta \ \ \ \ = 37.694^o[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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