91Ó°ÊÓ

Round answer to the nearest \(10^{t h}\). A helicopter that is 700 feet in the air measures the angle of depression to a landing pad as \(24^{\circ} .\) How far is the landing pad from the point directly beneath the helicopter's current position?

Round answer to the nearest \(10^{t h}\). An 88 foot tree casts a shadow that is 135 feet long. What is the angle of elevation of the sun?

A hot air balloon is flying above a straight road. In order to estimate their altitude, the people in the balloon measure the angles of depression to two consecutive mile markers on the same side of the balloon. The angle to the closer marker is \(17^{\circ}\) and the angle to the farther one is \(13^{\circ} .\) At what altitude is the balloon flying?

To estimate the height of a mountain, the angle of elevation from a spot on level ground to the top of the mountain is measured to be \(32^{\circ} .\) From a point 1000 feet closer to the mountain, the angle of elevation is measured to be \(35^{\circ} .\) How high is the mountain above the ground from which the measurements were taken?

Round answer to the nearest \(10^{t h}\). A woman standing on a hill sees a building that she knows is 55 feet tall. The angle of depression to the bottom of the building is \(27^{\circ}\) and the angle of elevation to the top of the building is \(35^{\circ} .\) Find the straight line distance from the woman to the building.

Convert each angle measure to decimal degrees. $$ 165^{\circ} 48^{\prime} $$

To estimate the height of a tree, one forester stands due west of the tree and another forester stands due north of the tree. The two foresters are the same distance from the base of the tree and they are 45 feet from each other. If the angle of elevation for each forester is \(40^{\circ}\), how tall is the tree?

Round answer to the nearest \(10^{t h}\). A man walking in the desert travels 1.6 miles in the direction \(S 57^{\circ} E .\) He then turns \(90^{\circ}\) and continues walking for 3.2 miles in the direction \(N 33^{\circ} E\). At that time, how far is he from his starting point and what is his bearing from the starting point?

A television tower 75 feet tall is installed on the top of a building. From a point on the ground in front of the building, the angle of elevation to the top of the tower is \(62^{\circ}\) and the the angle of elevation to the bottom of the tower is \(44^{\circ}\). How tall is the building?

Convert each angle measure to DMS notation. $$ 85.14^{\circ} $$