On a sunny day Ellot notices that a tamp post casts a shadow on the ground if the shadow is 16 it long and the lamp post is 13 m tall, what is the angle of elevation of the sun?(Assume the tamp post is at a right angle to the ground) A 35.84 B 43.76^circ c 46.24^circ D 5416^circ

Question

On a sunny day Ellot notices that a tamp post casts a shadow on the ground if the shadow is 16 it long and the lamp post is 13 m tall, what is the angle of elevation of the sun?(Assume the tamp post is at a right angle to the ground) A 35.84 B 43.76^circ c 46.24^circ D 5416^circ

Answer 1

To find the angle of elevation of the sun, we can use the tangent function in trigonometry. The tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side.In this case, the opposite side is the height of the lamp post (13 m) and the adjacent side is the length of the shadow (16 m).So, we can set up the equation:tan(angle) = opposite/adjacenttan(angle) = 13/16To find the angle, we take the inverse tangent (also known as arctan or tan^-1) of both sides:angle = arctan(13/16)Using a calculator, we find that the angle is approximately 43.76 degrees.Therefore, the correct answer is B) 43.76°.

Problemas

On a sunny day Ellot notices that a tamp post casts a shadow on the ground if the shadow is 16 it long and the lamp post is 13 m tall, what is the angle of elevation of the sun?(Assume the tamp post is at a right angle to the ground) A 35.84 B 43.76^circ c 46.24^circ D 5416^circ

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