Adam, who is 5'6" tall, notices his shadow on the sidewalk. If the angle of elevation from the tip of the shadow to the sun is 60°, what is the distance from the tip of the shadow to the top of his head? (round to 2 decimal places)

Question

Kristina Harvey

Geography

15 August, 02:40

Adam, who is 5'6" tall, notices his shadow on the sidewalk. If the angle of elevation from the tip of the shadow to the sun is 60°, what is the distance from the tip of the shadow to the top of his head? (round to 2 decimal places)

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Lizzy · Answer 1

This can be solved by forming a triangle. The distance from the tip of the shadow to his head is the hypotenuse of the triangle formed. Since 60 degrees is opposite the height of adam, then hypotenuse can be solved using

Sin (60) = 5.5 / h

H = 5.5/sin (60)

H = 6.35 ft