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Answer :
Final answer:
The height of the tower is 42.15 meters.
Explanation:
To find the height of the tower, we can use similar triangles. The length of the shadow is given as 36.6 meters, and the angle of elevation of the sun is given as 31.6 degrees.
Let's assume the height of the tower is 'h' meters. Using trigonometry, we can set up the following equation:
tan(31.6) = h/36.6
Solving for 'h', we have:
h = 36.6 * tan(31.6)
Plugging in the values, we get:
h = 42.15 meters
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