12.1 Day 2: Trigonometric Functions in Right Triangles Algebra 2 12.1 Day 2: Trigonometric Functions in Right Triangles

Angle of elevation/depression

Example 1 BUILDINGS To calculate the height of a building, Joel walked 200 feet from the base of the building and used an inclinometer to measure the angle of elevation to the top of the building. If Joel’s eye level is at 6 feet, what is the height of the building? h

Example 2 GOLF A golfer is standing at the tee, looking up to the green on a hill. The tee is 36 yards lower than the green and the angle of elevation from the tee to the hole is 12°. From a camera in a blimp, the apparent distance between the golfer and the hole is the horizontal distance. Find the horizontal distance.

Example 3 ROLLER COASTER The hill of the roller coaster has an angle of depression of 60°. Its vertical drop is 195 feet. From a blimp, the apparent distance traveled by the roller coaster is the horizontal distance from the top of the hill to the bottom. Find the horizontal distance.

Example 4 A Boeing 747 is getting ready to land and the pilot calculates the angle of depression to the landing strip to be 18°. If the altitude of the plane is currently 10,000 feet, what is the planes horizontal distance from the landing strip?

Example 5A A. Find the measure of A. Round to the nearest tenth if necessary.

Example 5B B. Find the measure of B. Round to the nearest tenth if necessary.

Example 6 Find the measure of A.

Exit Slip BASEBALL Mario hits a line drive home run from home plate to a height of 125 feet, where it strikes a billboard in the outfield. If the horizontal distance from home plate to the billboard is 300 ft, what is the angle of elevation of the baseball?