The length of the shadow of the tree is equal to 21.85 feet.
What are trigonometric identities?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.
It is given that a shadow does a 40-foot tall tree is cast on the ground if the sun is at an angle of 0.5 radians relative to the horizon.
The length of the shadow is calculated by using trigonometric functions. The tan angle is the ratio of the perpendicular to the base of the right angle triangle.
Tan 0.5 = x / 40
x = 40 tan 0.5
x = 21.85 feet.
Hence, the length of the shadow will be 21.85 feet.
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