Question

Robert is 5 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Roberts head to the furthest tip of the shadow is 18 feet. What is the length of Roberts shadow. Round to the nearest tenth of a foot.

Answer 1

His shadow should be 17.3

$18^{2} = x^{2} +5^{2} \\324= x^2 +25 \\x^2= 324-25\\x^{2} =299\\x=\sqrt{299} \\x=17.29161646579058\\x=17.3ft$