WPP 12: Unit O Concept 10: Finding Angles of Elevation and Depression

http://www.timeanddate.com/holidays/un/international-mountain-day

a) Percy is going on a hike with his friends up a mountain. His friend, Annabeth (who is a total genius), measures that the angle of elevation to the top of the mountain to be 72 degrees. Assuming that she, Percy, and their group of friends are standing 205 feet away from the base of the mountain, how tall is the mountain? (Round to the nearest foot)

b) Percy and his friends reach the peak of the mountain a few hours later. They are going to hike down to a lodge at the base of the mountain from the other side, which is less steep. It has an angle of depression of 41 degrees. Since they are ____ ft high up on the mountain, how long is the trail they will hike this time?

Solution: