SOLUTION: When the angle of elevation of the sun is 60° , a vertical pole casts a shadow of length 5.4 metres on the horizontal ground. Calculate correct to 3 significant figures, the heigh

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Question 1195202: When the angle of elevation of the sun is 60° , a vertical pole casts a shadow of length 5.4 metres on the horizontal ground. Calculate correct to 3 significant figures, the height of the pole.
Answer by ikleyn(52812) About Me  (Show Source):
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When the angle of elevation of the sun is 60° , a vertical pole
casts a shadow of length 5.4 metres on the horizontal ground.
Calculate correct to 3 significant figures, the height of the pole.
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Let x be the height of the pole, in meters.


Then  tan(60°) = x%2F5.4 = sqrt%283%29.


Hence,  x = 5.4%2Asqrt%283%29 = 9.353074361 = 9.353 meters (rounded as requested).    ANSWER

Solved.