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Angles and Similar Triangles
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You plan to cross a river and want to know how far it is to the other side. You take measurements on your side of the river and make the drawing shown. What is the distance x across the river?
48 feet
You place a mirror on the ground 6 feet from the lamppost. You move back 3 feet and see the top of the lamppost in the mirror. If you are 5.5 feet tall, what is the height of the lamppost?
11 feet
A person who is 5 feet tall casts a 3 foot shadow. A flagpole that is 60 feet high also casts a shadow. How long is the shadow?
36 feet
A person who is 6 feet tall casts a 3 foot shadow. A nearby pine tree casts a 15 foot long shadow. What is the height of the pine tree?
30 ft
Find the measurement of angle a if these two triangles are similar.
32 degrees
Find the length of side AJ.
6
These triangles are similar. Find the measurement of angle F.
72 degrees
This yield sign is a regular triangle. How many degrees are in each angle?
60 degrees
The bolt on the fire hydrant is a regular pentagon. How many degrees are in each angle?
108 degrees
Find the value of x.
x = 90
Find the value of x.
43 degrees
Find the sum of the interior angles.
540 degrees
Find the sum of the interior angles.
1080 degrees
Find the sum of the interior angles.
360 degrees
Find the value of angle U.
65 degrees
Find the value of angle U.
70 degrees
Find the value of x.
x = 4
Find the value of x.
x = 12
Find the value of x.
x = 7
Find the value of x.
x = -3
Find the value of the missing angle.
50 degrees
Find the value of the missing angle.
58 degrees
Find the value of x.
x = 4
Find the value of x.
x = 5
Find the value of x.
x = 8
Find the value of x.
x = 4
Find the measurement of angle 2.
73 degrees
Find the measurement of angle 4. Extra points for naming the relationship.
85 degrees
Find the measurement of angle 5. Extra points for naming the relationship.
49 degrees
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