# 1) The angle of elevation from a point on the ground to the top of a tree is 35.7 degrees. The angle of elevation from a point 25.5 ft farther back…

1) The angle of elevation from a point on the ground to the top of a tree is 35.7 degrees. The angle of elevation from a point 25.5 ft farther back to the top of the tree is 25.2 degrees. Find the height of the tree to 2 decimal places.

2) A surveyor standing on a hill 20 feet high looks at a building across a river. The surveyor determines that the angle of depression to the base of the building is 30∘2′ and the angle of elevation to the top of the building to be 50∘36′. Calculate the height of the building in feet to two decimal places.

3) A driver in a car traveling along a straight level road at 50 miles per hour sees a mountain in the distance. The driver determines that the angle of elevation to the top of mountain to be 13∘30′. After 25 minutes, the driver determines the angle of elevation to the top of the mountain to be 30∘13′. Calculate the height of the mountain to the near 