Twenty Questions

Subject: Analytic Geometry Unit 2

Twenty Questions

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6 7 8 9 10

11 12 13 14 15

16 17 18 19 20

Jessie is building a ramp loading motorcycles onto a trailer. The trailer is 2.8 ft off of the ground. To avoid making it too difficult to push a motorcycle up the ramp, Jessie decides to make the angle between the ramp and the ground 15°. To the nearest hundredth of a foot, find the length of the ramp.

10.8 ft.

The largest Egyptian pyramid is 146.5 m high. When Ron stands far away from the pyramid, his angle of elevation is 20°. What is the horizontal distance between the center of the pyramid and Ron. Round to the nearest meter

402 meters.

An eagle 300 feet in the air spots its prey on the ground. The angle of depression to its prey is 15°. What is the horizontal distance between the eagle and its prey? Round to the nearest foot.

1120 ft

The coordinates of the vertices of triangle RPQ are R(2,-1) P(2,2) and Q(-2,-1). Find m∠P

53°

Find GH. Round to the nearest hundredth

22.46 in

The size of a TV screen is given by the length of its diagonal. The screen aspect ratio is the ratio of its width to its height. The screen aspect ratio of a standard TV is 4:3. What are the width and height of a 27” TV screen?

Width 21.6 in height 16.2 in

Write the trigonometric ratio for cos X as a fraction.

Cos x = 4/5

The longest side of a 30°-60°-90° triangle measures 8. What is the length of the longer leg?

When the angle of elevation of the sun is 50°, a flagpole casts a shadow that is 16.8 ft long. What is the height of the flagpole to the nearest foot?.

20 ft

A utility worker is installing a 25 ft telephone pole. The work order indicates that two guy wires (a wire running from the ground to the top of the pole) should be placed opposite each other and at a 65° angle of elevation to the pole. To the nearest tenth of a foot, how far apart are the guy wires?

23.3 ft

Find sin B as a decimal rounded to the nearest hundredth.

0.55

To the nearest tenth, what is the altitude of an equilateral triangle whose sides measures 43 cm?

37.2 cm

A 39-foot ladder is propped up against a wall so that it reaches 30 feet up the wall. What is the angle of elevation the ladder forms with the floor.

50°

Lindsey is 9.2 meters up, and the angle of depression from Lindsey to Pete is 79°. Find the distance from Pete to the base of the building to the nearest tenth of a meter.

1.8 meters

Lisa walks 15 feet from the base of the tree. She measures an angle of elevation from the ground to the nest 62°. Find how high the nest is above the ground, to the nearest foot.

28 ft

Find BD

12.46 m

Find QP

19.70 mm

Find ∠D.

65°

Find the length of GH

7.64 ft

A ramp is used to load a 4-wheeler onto a truck bed that is 3 ft above the ground. The angle that the ramp makes with the ground is 32°. What is the horizontal distance covered by the ramp? Round to the nearest hundredth.

4.80 ft