Section T.2 Part 2 Right Triangle Applications

To measure the width of a river, you plant a stake on one side of the river, directly across from a boulder on the other side of the lake. You then walk 100 feet to the right of the stake and measure a 79 degree angle between the stake and the boulder. What is the width of the river?

Angle of Elevation Angle of Depression

A ski slope has an angle of elevation of 26 degrees A ski slope has an angle of elevation of 26 degrees. If the vertical height of the slope is 1808 feet, how long is the ski slope?

You are in a helicopter at an altitude of 3000 feet You are in a helicopter at an altitude of 3000 feet. In an attempt to measure the width of an island, you find the angle of depression to the farther side of the island is 27 degrees, and the angle of depression to the nearer side of the island is 39 degrees. Find the width of the island.

Bearings (Aeronautical/Nautical)

A plane flies 2 hours at 110 mph on a bearing of 40 degrees A plane flies 2 hours at 110 mph on a bearing of 40 degrees. It then turns and continues another 1.5 hours at 130 mph on a bearing of 130 degrees. How far is the plane from its starting point? What is the plane’s bearing from the starting point?

A ship leaves port at 1:00 pm traveling at 13 knots directly north A ship leaves port at 1:00 pm traveling at 13 knots directly north. Another ship leaves the same port at 2:00 pm traveling due east at 15 knots. At 9:00 pm, How far apart are the ships? If the northern ship must travel in a direction S E to reach the eastern ship which is now stopped, find the value of x.