Special Right Triangle Application Problems

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Handbook page 10
Handbook page 22
Special Right Triangle
Application Problems
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#3
A tree casts a shadow that is 150 feet long.
If the angle of elevation from the tip of the shadow to
the top of the tree is 30°, how tall is the tree to the
nearest foot?
Review
50 3 ft  86.60 feet
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#4
If the tree begins to fall and your car is parked 90
feet away from the tree, would you have to move
your car?
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NO. YOUR CAR
WOULD BE OUT OF
THE TREE’S REACH
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#5 A triangle has the following characteristics: a
90º angle and side lengths both measuring
14 6 in. Find the length of the hypotenuse.
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28 3
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#6 The area of a square is 25 cm. What
is the length of the diagonal of the
square?
Review
5 2
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#7
Find the perimeter of trapezoid
ABCD
Review
21 9 3  36.59
A
6
B
9
D
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60º
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#8
A triangle has the following : a 90º angle
and side lengths measuring 2 3 cm and 6
cm. Find the length of the hypotenuse.
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4 3
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#9
A kite, flying 50 feet high in the air is attached
by a string to a stake in the sand. How long is
the string to the nearest tenth of a foot?
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50 2 ft  70.71 feet
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#10
A bookcase is 3 feet high and 3 feet wide. Two braces
are going to be built to diagonally cross the back of
the case. How long is the piece of wood that is
needed to build each brace?
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3 2 ft  4.24 feet
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#11
The baseball diamond is in the shape of a square
with each side being 90 feet. If the catcher throws
out a runner at second base who was trying to steal,
how far does he need to throw the ball?
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90 2 ft  127.28 feet
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#12
The shorter leg of a 30°-60°-90°
triangle is 7.4 meters long. Find the
perimeter.
Review
44.4 m
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#13
If a diagonal of the square is 8 2,
what is the area of the square?
Review
64 units
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#14
Find the altitude of an equilateral
triangle, if each side of the triangle has a
length of 14 meters.
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7 2  9.90
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The End
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