An isosceles triangle of wood of base 10 feet and height 8 3 feet is placed vertically with its base on the ground and vertex directly above. The triangle faces the sun whose altitude is 30 o . Then, the tangent of the angle at the apex of

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An isosceles triangle of wood of base 10 feet and height 8 3 feet is placed vertically with its base on the ground and vertex directly above. The triangle faces the sun whose altitude is 30 o . Then, the tangent of the angle at the apex of the shadow is

Quantrex Academy · Accepted Answer

Correct answer: B. 80 39

Let, A B C is the triangle and triangle B C E is its shadow on the ground Height of the triangular shadow = D E = 8 3 cot &#8289; 30 o = 8 feet &#8756; tan &#8289; &#945; = 5 8 (from &#8710; B D E ) tan &#8289; 2 &#945; = 2 tan &#8289; &#945; 1 - tan 2 &#8289; &#945; = 2 &#215; 5 8 1 - 25 64 = 5 4 &#215; 64 39 = 80 39

An isosceles triangle of wood of base 10 feet and height 8 3 feet is placed vertically with its base on the ground and vertex directly above. The triangle faces the sun whose altitude is 30 o . Then, the tangent of the angle at the apex of the shadow is

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