Asurveyor is measuring the distance across a small lake. he has set up his transit on one side of the lake 90 feet from a piling that is directly across from a pier on the other side of the lake. from his transit, the angle between the piling and the pier is 40°. what is the distance between the piling and the pier to the nearest foot?

76 ft

Explanation:

= The angle between the piling and the pier = 40°

Distance between transit on one side of the lake and piling that is directly across = 90 ft

From the trigonometric identities we have

The distance between the piling and the pier to the nearest foot is 76 ft

wind moving at higher speeds will transfer more energy to the water, resulting in stronger waves.