Transcript Twenty Questions

Twenty Questions
Subject: Analytic
Geometry Unit 2
Twenty Questions
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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