Geometry – Unit 8
Unit 8 Review Jeopardy
Pythagorean
Theorem
Special Right
Triangles
Sine, Cosine,
&Tangent
Elevation &
Depression
Wild Card!
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100
Are the numbers 9, 15, and 12 a Pythagorean
triple?
Yes
200
Is a triangle with side lengths 21, 7, and 19
acute, obtuse, or right?
Obtuse
300
Find the value of x. Leave your answer in
simplified radical form.
4
x
10
x  2 29
400
A park in the shape of a square has an area of 81
yards squared. If a diagonal walking path was
constructed from corner to corner, how long would
it be? Find your answer in decimal form, rounded to
the nearest tenth of a yard.
12.7 yards
500
Find the value of x. Leave your answer in
simplified radical form.
x

5 2
3
x  41
100
Find the values of x and y.
x
10 2
y

x = 10, y = 10
200
Find the values of x and y.
x
30°
y
3
x  3 3, y  6
300
Find the values of x and y
y
12
x
x  12, y  12 2
400
Find x and y.
30º
y
x
8
x  4 3, y  8
500
Find x, y, and z. Leave your answers in
simplified radical form.
x
60º
y
z
45º
2 3

x  4 3, y  6, z  6 2
100
Write ratios for sinA, cosA, and tanA
A
22
12
B
C
13
13
6
13
sin A  , cos A  , tan A 
22
11
12
200
Find x. Round your answer to the nearest tenth.
x
43º
15
x = 10.2
300
Find y. Round your answer to the nearest tenth
8
y
y = 9.8
35º
400
Find x. Round your answer to the nearest degree.
x
12
9
x = 37º
500
Find x and y. Round your answer
to nearest degree.
x
17
8
y
15
x = 62°, y = 28°
100
You want to measure the height of a tree, so you
walk exactly 100 feet from the base of the tree.
The angle from the ground to the top of the tree
is 33°. How tall is the tree?
33º
100 ft.
64.9 ft. tall
200
A skyscraper is 350 ft. tall. If the angle from
the ground where you are standing to the top
of the building is 41º, how far away are you
from the base of the building?
402.6 ft.
300
A bird on top of a 20 foot roof spots a worm at an
angle of depression of 22º. If the bird flies directly
towards the worm at this angle, what is the distance
it will fly?
53.4 feet
400
An airplane is flying at a height of 2 miles above the
ground. The distance along the ground from the
plane to the airport is 5 miles. What is the angle of
depression from the airplane to the airport?
22º
500
A squirrel sits on top of a fence post. If a dog is
looking up at the squirrel at an angle of elevation of
47º, and the distance from the squirrel to the dog is
15 yards, how tall is the fence?
11 yards
100
Simplify the following radical:
12  6
6 2
200
Find the value of x. Leave your answer in
simplified radical form.
11
x
15
x  2 26
300
A hot-air balloon is at an altitude of 300 m. The pilot
can still see its starting point on the ground at a 25°
angle of depression. How many meters is the balloon
from the starting point?
709.9 m
400
Simplify the following radical expression.
3549
7
13 3
500
Find the value of x.
x = 18.6
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FINAL
JEOPARDY
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