Question

The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

Answer 1

Let AB is representing height of man which is 1.82 m tall.

Answer 2

The length of the shadow cast by a person 1.82 m tall is; 4.09m

Angle of Elevation

The angle of Elevation to the sub is 24°.

On this note, the shadow cast on the floor represents the adjacent of the angle of Elevation.

Hence, the length of the shadow cast can be calculated from Tangent identify as follows;

• Tan 24° = 1.82/l

• l = 1.82/Tan 24

• l = 1.82/0.445

Length of shadow = 4.09m

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