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A pole, 4m high, as shown in figure 2, stands, vertically, on

level ground. If the sun is at an angle of 30° to the horizontal,
how long is the shadow.

Use the tangent ratio to solve the problem.​

User Ramaraj T
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1 Answer

3 votes

Answer: 6.92 m

Explanation:

Assuming the image is the attached below, we have a right triangle, where one of the legs is the 4 m high pole and the other leg the shadow.

Now, the tangent function is defined as:


tan \theta=(Opposite-leg)/(Adjacent-leg)

Since the Sun is at an angle
\theta=30\° and the adjacent leg is the shadow
s we have:


tan(30\°)=(4 m)/(s)

Isolating
s:


s=(4 m)/(tan(30\°))


s=6.92 m This is the length of the shadow

A pole, 4m high, as shown in figure 2, stands, vertically, on level ground. If the-example-1
User Charkan
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