Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 5
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309. If you place a 16 ft ladder 6 feet from
10. A tree broke 6 feet from the bottom.
a wall, how high up the wall will it go?
If the top landed 12 feet from the base,
how tall was the tree before it broke?
11. Jim headed south 5 miles from his house
12.There is a restaurant diagonally across
to the cleaners. From there he headed west
a rectangular field from Jeff’s dorm. If
to meet his friends. They were at a park 3
he followed the roads, he would have to
miles away. How far would he have to go
go 2 blocks north and 3 blocks east.
if he went straight home?
Each block is 100 ft long. How much shorter
would it be for him if he walked diagonally
across the field instead?
MULTIPLE CHOICE: Find the correct answer for each of the following. Clearly circle your
answers. WORK MUST BE SHOWN IN ORDER TO RECEIVE CREDIT.
13. If ∆ KMP is a right triangle formed by
15. The legs of a right triangle are 4 cm
2
A
159 in.
and 7 cm long. To the nearest cm, how
2
B
129 in.
long is the hypotenuse?
2
C
66 in.
2
D.
24 in.
A. 11 cm
B. 10 cm
C. 14 cm
D. 8 cm
16. What is the height of the triangle?
14. The figure below shows three right
triangles joined at their right-angle vertices
3
cm
to form a triangular pyramid. Which of the
h
following is the closest to the length of XZ?
Y
2 cm
5 cm
A. 7 inches
12.5 in
B. 20 inches
A. 2 cm
13 in
C. 12 inches
B. 1 cm
15 in
D. 9 inches
C.
cm
5
2
W
D.
cm
5
10
Z
X
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