Free Printable Right Triangle Trig Word Problems Solving for a Side

1.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

2.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

3.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

4.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

5.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

6.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

e)

Cos(40º)=19/x

7.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

8.

Solve for x.

a)

12.8

b)

31.25

c)

15.4

d)

16.8

9.

Which trigonometric equation would correctly solve for x?

a)

$\sin\left(37\right)=\frac{x}{23}$

b)

$\sin\left(37\right)=\frac{23}{x}$

c)

$\cos\left(37\right)=\frac{x}{23}$

d)

$\cos\left(37\right)=\frac{23}{x}$

e)

$\tan\left(37\right)=\frac{x}{23}$

10.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

11.

Which trigonometric equation would correctly solve for x?

a)

$x=15\sin\left(41\right)$

b)

$x=15\cos\left(41\right)$

c)

$x=\frac{15}{\cos\left(41\right)}$

d)

$x=15\tan\left(41\right)$

e)

$x=\frac{15}{\tan\left(41\right)}$

12.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

13.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

e)

sin(46) = 17/x

14.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

15.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

e)

cos (45) = 13/x

16.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

17.

Which trigonometric equation would correctly solve for x?

a)

$x=19\sin\left(29\right)$

b)

$x=\frac{19}{\sin\left(29\right)}$

c)

$x=19\cos\left(29\right)$

d)

$x=19\tan\left(29\right)$

e)

$x=\frac{19}{\tan\left(29\right)}$

18.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

19.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

20.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

Right Triangle Trig Word Problems Solving for a Side

Total questions: 20

Worksheet time: 20mins

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