Download File

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Euler angles wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Trigonometric functions wikipedia , lookup

Perceived visual angle wikipedia , lookup

Transcript
Geometry Unit 3 Jeopardy
Find
Missing
Angles
Find
Missing
Sides
Real-World
Problems
Angle of
Elevation/
Depression
Wild Card
$100
$100
$100
$100
$100
$200
$200
$200
$200
$200
$300
$300
$300
$300
$300
$400
$400
$400
$400
$400
$500
$500
$500
$500
$500
Final Jeopardy
Find Missing Angles - $100

Find the measure of the angle indicated. Round
to the nearest tenth.

a = 44.4°
Find Missing Angles - $200

Find the measure of the angle indicated. Round
to the nearest tenth.

51.3°
Find Missing Angles - $300

Find the measure of the angle indicated. Round
to the nearest tenth.

51.3°
Find Missing Angles - $400

A ramp has a length of 30 m and a vertical
height of 9 m. At what angle does the ramp
meet the ground? Round to the nearest tenth.

17.5°
Find Missing Angles - $500

A pair of dividers is shown. The distance from
the nut N to the point of the dividers P is 9 cm
and the vertical height of the point M above the
line NP is 4.5 cm. What is the size of the angle x
between the arms of the dividers?

30°
Find Missing Sides - $100

Find the measure of the side indicated. Round to
the nearest tenth.

12.9
Find Missing Sides - $200

Find the measure of the side indicated. Round to
the nearest tenth.

13.8
Find Missing Sides - $300

Find the measure of the side indicated. Round to
the nearest tenth.

4.6
Find Missing Sides - $400

An airplane climbs at an angle of 11° with the
ground. Find the ground distance it has traveled
when it has attained an altitude of 400 ft. Round
to the nearest tenth of a foot.

2057.8 ft
Find Missing Sides - $500

Find the altitude of an isosceles triangle with a
base of 4.24 ft. The vertex angle of the triangle
measures 85°. Round to the nearest tenth.

2.3 ft
Real-World Problems - $100


A 12-foot ladder is leaning against a building at
a 75° angle with the ground. Which equation
can be used to find how high the ladder reaches
up the side of the building?
D
12
A. sin 75 
x
12
B. tan 75 
x
x
C. cos 75 
12
x
D. sin 75 
12
Real-World Problems - $200

A doctor is using a treadmill to assess the
strength of a patient’s heart. He sets the 48 inch
long treadmill at an incline of 10°, how high is
the end of the treadmill raised? Round to the
nearest tenth.

47.3 in
Real-World Problems - $300

The altitude of an equilateral triangle is 5 cm.
What is the length of a side of the triangle?
Round to the nearest tenth.

5.8 cm
Real-World Problems - $400

A light post, shown at the right, is set in concrete and
supported with a guy wire while the concrete dries. The
length of the guy wire is 10 feet and the ground state is
4 feet from the bottom of the light post. What equation
could be used to find the height of the light post, x, from
the ground to the top of the light post?
Real-World Problems - $500

A balloon is tethered on horizontal ground by a 12 m
long rope. Initially the rope is vertical, but the balloon is
then carried by the wind a horizontal distance of 10 m
towards the east. What is the size of the angle θ
between the rope’s original and final positions?

56.4°
Angle of Elevation/Depression $100

A hot air balloon is 1,200 feet above the ground. The
angle of depression from the basket of the hot air
balloon to the base of a monument is 54°. What
equation can be used to find the distance, d, in feet,
from the basket of the hot air balloon to the base of the
monument?
1200
sin 54 
d
Angle of Elevation/Depression $200

A ship is at position A on the sea surface and locates a
wreck, C, on the seabed 321 m vertically below. The ship
then steams 525 m due west until it reaches position B.
From its new position at B, what is the size of the angle
of depression from B to the wreck C? Round to the
nearest tenth.

31.4°
Angle of Elevation/Depression $300

The diagram shows a vertical tree of height 22ft.
From the point A (on level ground) the
horizontal distance to the base B of the tree is
30 ft. What is the angle of elevation from A to
the top of the tree C?

36.3°
Angle of Elevation/Depression $400

A 96 foot tree casts a shadow that is 120 feet
long. What is the angle of elevation of the sun?
Round to the nearest tenth.

38.7°
Angle of Elevation/Depression $500

The angle of elevation to the top of the Empire
State Building in New York is 11° from a point on
the ground 1 mile from the base of the building.
Find the height of the Empire State Building to
the nearest tenth of a foot.

1026.3 ft
Wild Card - $100

In right triangle ABC, angle A and angle B are
complementary angles. The value of cos A  5
13
What is the value of sin B?
5
13
.
Wild Card - $200

Triangle ABC is given below. What is the value of
cos A?
9 3

15 5
Wild Card - $300

The side of a square measures 6 cm. What is
the exact length of the diagonal of the square?
6 2 cm
Wild Card - $400


In right triangle HJK, J is a right angle and
tan H  1 . Which statement about triangle HJK
must be true?
C
1
A. sin H 
2
B. sin H  1
C. sin H  cos H
1
D. sin H 
cos H
Wild Card - $500

A right triangle is shown at the right. Find the
value of x.

8
Final Jeopardy

A pole is attached to the ground by two guy wires. The
wires stake to the ground 20 feet away from the pole
and make an angle of 58° with the ground. How much
wire is needed to support the pole? Round to the
nearest tenth of a foot.

75.4 ft