A 400-m tall tower casts a 600-m long shadow over a level ground. at what angle is the sun elevated above the horizon?

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23-06-2018
Chemistry

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A 400-m tall tower casts a 600-m long shadow over a level ground. at what angle is the sun elevated above the horizon?

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jamuuj jamuuj · Answer 1 · 2018-07-03T05:48:03+02:00

jamuuj jamuuj

03-07-2018

We can use the trigonometric ratio to find the angle at which the sun is elevated;
Using tangent;
tan θ = opp/adj
tan θ = 400/600 = 2/3
θ = tan^-1 (2/3)
= 34°
Thus, the angle at which the sun is elevated above the horizon is 34 degrees

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BarrettArcher BarrettArcher · Answer 2 · 2019-09-18T13:43:49+02:00

BarrettArcher BarrettArcher

18-09-2019

Answer:

34°. (approx)

Explanation:

The height of the tower is 400m.

The shadow over a level ground = 600m.

Trigonometric ratios can be used to find the angle of elevation.

By using the tangent (drawn below) :

tan[tex]\theta[/tex] = perpendicular / base

tan[tex]\theta[/tex] = 400/600.

tan[tex]\theta[/tex] = 2/3.

tan[tex]\theta[/tex] value at 2/3 is 33.60 ≈ 34.

Thus, the angle of elevation is 34.

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