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

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.<br /><br />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).<br /><br />So, we can set up the equation:<br /><br />tan(angle) = opposite/adjacent<br />tan(angle) = 13/16<br /><br />To find the angle, we take the inverse tangent (also known as arctan or tan^-1) of both sides:<br /><br />angle = arctan(13/16)<br /><br />Using a calculator, we find that the angle is approximately 43.76 degrees.<br /><br />Therefore, the correct answer is B) 43.76°.