The length of the shadow is the adjacent side of the right angle triangle . Therefore, the approximate length of the shadow is 8 feet , 11 inches
The situation forms a right triangle
What is a right angle triangle?
A right angle triangle has one of its side as 90 degrees.
The approximate length of the shadow is the adjacent side of the triangle. Therefore, using trigonometric ratio,
tan 35° = opposite / adjacent
tan 35° = 6.25 / a
cross multiply
a tan 35° = 6.25
divide both sides by tan 35°
a = 6.25 / tan 35°
a = 6.25 / 0.70020753821
a = 8.92592504214
a = 8.9 feet
Therefore, the approximate length of his shadow is 8 feet , 11 inches
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