Angles of Elevation & Angles of Depression (G.8)

Obj: SWBAT review using trig function angle of elevation & angle of depression

**hw/hw log/storybook/right triangle notes Bucket A: tab “right triangles , 2nd NW

ReflectionWU: worksheet day 40 (1-18)- show all

work!!!!HW (day 43):

WorksheetQuiz next block (8.3, 8.4)/Test on Day 45

pearsonsuccess.net (due Friday)

•Sometimes drawing a diagram of the situation described in a problem can help you to solve problems involving angles of elevation and depression. Angles of elevation or depression to two different objects can be used to find the distance between those objects.

Arbitrary line from the point of depression

• If an arbitrary line is drawn from the point of depression, we can assume that the line is parallel to the ground. If it is parallel to the ground, then the angle of depression is ________________ to the angle of elevation.

x °

x °

arbitrary line from the point of depression

Angles of Elevation and Depression•Label the Angle of elevation and angle of

depression. What do you notice about both angles?

Angle of elevation

Angle of depression

Identify the angles of elevation with an Xand the angle of depression with an Y

of elevation: _______

of depression: _______

of elevation: _______

of depression: _______

of elevation: _______

of depression: _______

of elevation: _______

of depression: _______

* How do you find angles of elevation & depression?

Pyth, Trig, inverse trig, 30-60-90 or 45-45-90

* Now, identify when you use each of the above.

1. Hannah is on the Observation Deck of the John Hancock Center on the 94th floor, which is 1030’ above the ground. Arnold is on the Skydeck of the Sears Tower on the 103rd floor, which is 1335’ from the ground. The John Hancock Center is 1.7 miles or 8976’ from the Sears Tower. To the nearest tenth, what is the angle of elevation from Hanna to Arnold?

2. A surveyor is 130’ from a tower. The tower is 86’ high. The surveyor’s instrument is 4.75’ above the ground. Find the angle of elevation, to the nearest degree.

3. A ski slope is 550 yards long with a vertical drop of 130 yards. To the nearest tenth of a degree, find the angle of depression of the slope.

4. Jordan is 50’ from the tallest totem pole. The tallest totem pole, located in Canada, is 173’ high. If Jordan’s eyes are 5’ from the ground, find the angle (to the nearest tenth) of elevation for her line of sight to the top of the totem pole.

5. Dustin is visiting the Blue Ridge Parkway outside Floyd, Virginia. The angle of elevation for his line of sight to the top of the Blue Ridge Parkway Welcome Sign is 75°. If his line of sight is 6’ from the ground and the sign is attached to the pole 110’ above the ground, how far is he from the base of the pole, to the nearest foot?