Name: ________________________ Class: ___________________ Date: __________
ID: A
Trigonometry - Triangle Practice Problem Set
Short Answer
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
1.
4. A wall is supported by a brace 10 feet long, as
shown in the diagram below. If one end of the
brace is placed 6 feet from the base of the wall,
how many feet up the wall does the brace reach?
2.
Not drawn to scale
5. How many feet from the base of a house must a
39-foot ladder be placed so that the top of the
ladder will reach a point on the house 36 feet from
the ground?
3.
6. The "Little People" day care center has a
rectangular, fenced play area behind its building.
The play area is 30 meters long and 20 meters
wide. Find, to the nearest meter, the length of a
pathway that runs along the diagonal of the play
area.
1
Name: ________________________
ID: A
10. Find the value of the variable. If your answer is not
an integer, leave it in simplest radical form.
7. The accompanying diagram shows a kite that has
been secured to a stake in the ground with a 20-foot
string. The kite is located 12 feet from the ground,
directly over point X. What is the distance, in feet,
between the stake and point X?
8. Find the length of the leg. If your answer is not an
integer, leave it in simplest radical form.
9. Find the lengths of the missing sides in the triangle.
Write your answers as integers or as decimals
rounded to the nearest tenth.
2
ID: A
Trigonometry - Triangle Practice Problem Set
Answer Section
SHORT ANSWER
1. ANS:
6 3
PTS: 1
DIF: L2
REF: 8-2 Special Right Triangles
OBJ: 8-2.2 Using 30°-60°-90° Triangles NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.5.1 | ADP K.5
STA: NY G.G.48 TOP: 8-2 Example 4
KEY: special right triangles | leg | hypotenuse
2. ANS:
x = 30, y = 10 3
PTS:
OBJ:
STA:
3. ANS:
x = 17
1
DIF: L2
REF: 8-2 Special Right Triangles
8-2.2 Using 30°-60°-90° Triangles NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.5.1 | ADP K.5
NY G.G.48 TOP: 8-2 Example 4
KEY: special right triangles | leg | hypotenuse
3 , y = 34
PTS: 1
DIF: L2
REF: 8-2 Special Right Triangles
OBJ: 8-2.2 Using 30°-60°-90° Triangles NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.5.1 | ADP K.5
STA: NY G.G.48 TOP: 8-2 Example 4
KEY: special right triangles | leg | hypotenuse
4. ANS:
8.
PTS: 2
KEY: graphics
5. ANS:
15.
6, 8, 10 is a multiple of the 3, 4, 5 triangle.
REF: 010023a
STA: A.A.45
TOP: Pythagorean Theorem
. 15, 36, 39 is a multiple of the 5, 12, 13 triangle.
PTS: 2
REF: 080122a
KEY: without graphics
6. ANS:
STA: A.A.45
TOP: Pythagorean Theorem
STA: A.A.45
TOP: Pythagorean Theorem
36.
PTS: 2
REF: 010933a
KEY: without graphics
1
ID: A
7. ANS:
. 12, 16, 20 is a multiple of the 3, 4, 5 triangle.
16.
PTS: 2
KEY: graphics
8. ANS:
8 2
REF: 080531a
STA: A.A.45
TOP: Pythagorean Theorem
PTS: 1
DIF: L2
REF: 8-2 Special Right Triangles
OBJ: 8-2.1 45°-45°-90° Triangles
NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.5.1 | ADP K.5
STA: NY G.PS.10 | NY G.CM.2 | NY G.CM.5 | NY G.CM.7 | NY G.G.48
TOP: 8-2 Example 2
KEY: special right triangles | hypotenuse | leg
9. ANS:
x = 9.9, y = 7
PTS:
OBJ:
STA:
TOP:
10. ANS:
1
DIF: L3
REF: 8-2 Special Right Triangles
8-2.1 45°-45°-90° Triangles
NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.5.1 | ADP K.5
NY G.PS.10 | NY G.CM.2 | NY G.CM.5 | NY G.CM.7 | NY G.G.48
8-2 Example 2
KEY: special right triangles | hypotenuse | leg
5 2
2
PTS:
OBJ:
STA:
TOP:
1
DIF: L2
REF: 8-2 Special Right Triangles
8-2.1 45°-45°-90° Triangles
NAT: NAEP 2005 G3d | ADP I.4.1 | ADP J.5.1 | ADP K.5
NY G.PS.10 | NY G.CM.2 | NY G.CM.5 | NY G.CM.7 | NY G.G.48
8-2 Example 2
KEY: special right triangles | hypotenuse | leg
2