3.2b: Angle of Elevation (Inclination) and Angle of

Depression

GSE:

G-SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

G-SRT.7 Explain and use the relationship between the sine and cosine of complementary angles.

G-SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.?

CCSS:

Angle of Depression: Angle formed from the horizon DOWN to an object

Angle of Elevation/Inclination: Angle formed by horizon UP to an object

ground

Name all angles of elevation (inclination) :

Name all angles of depression:

1, 5

4,7

Based on the two new vocabulary words, write a sentence for each based upon the picture.

1.Determine the height of the flagpole if you stand 25 feet away and estimate the angle of elevation to the top of the flagpole to be o37

A red sox fan’s angle of depression to the World Series Parade 2012 float is 63 degrees.

If the building is 40 feet tall, what is the distance from the float to the entrance to the building?

3. An observer in a lighthouse is 85 ft above the surface of the water.

The observer sees a ship and finds the angle of depression to be 0.8°.

Estimate the distance of the ship from the base of the lighthouse.

4. The tallest freestanding structure in the world is the 553 meter tall CN tower in Toronto, Ontario. Suppose that at a certain time of day it casts a shadow 1100 meters long on the ground. What is the angle of elevation of the sun at that time of day?

5. A person five feet tall stands fifteen feet from a building.

The angle of elevation from the person to the top of the building is 68 degrees. Find the height of the building.

The angle of depression from the top of the 60 foot lighthouse to the sailboat is 64 degrees. The

Angle of depression from the top of the lighthouse to the speedboat is 42 degrees. How far apart

Are the two boats?

Mr. Ruhle is sitting north of Pesky’s Pole at Fenway Park with an angle of

elevation of 72o to the top of the 30 ft pole. Mr. Schofield is sitting south of Pesky’s

Pole at Fenway Park with and angle of elevation of 5o to the top of the 30 ft pole.

How far apart are Mr. Ruhle and Mr. Schofield sitting at Fenway Park?

Homework