Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

Which of the following is not a Pythagorean triple?
a.  9, 11, 17  c.  8, 15, 17  b.  7, 24, 25  d.  3, 4, 5 


2.

What is the sine of 19°?
a.  0.946  c.  0.360  b.  0.344  d.  0.326 


3.

A right triangle has a hypotenuse of 1.4 cm. If one of the angles is 45°,
what is the adjacent side?
a.  0.99 cm  c.  0.99 cm  b.  1.40 cm  d.  2.2 cm 


4.

A right triangle has a hypotenuse of 39 cm. If one of the angles is 83°,
what is the adjacent side?
a.  39.92 cm  c.  38.71 cm  b.  317.63 cm  d.  4.75 cm 


5.

The tangent ratio relates to which two sides of a right triangle?
a.  The side adjacent to a given angle and the hypotenuse.  c.  The side opposite a given angle and
the adjacent side.  b.  The side adjacent to a given angle and the
vertical side.  d.  The side
opposite a given angle and the hypotenuse. 


6.

What is the tangent of 24°?
a.  0.441  c.  0.914  b.  0.407  d.  0.445 


7.

What does an inverse trigonometric function solve for?
a.  Length of hypotenuse  c.  Length of the opposite side  b.  Length of the
adjacent side  d.  Angle 


8.

What is cos^{1}(0.22)?
a.  12.71°  c.  77.29°  b.  43.91°  d.  12.41° 


9.

What is tan^{1}(0.14)?
a.  8.05°  c.  7.97°  b.  39.25°  d.  81.95° 


10.

A right triangle has two sides measuring 10 m and 22 m, respectively. If one of
the sides is the hypotenuse, what is the largest angle that can be between them?
a.  27.0°  c.  63.0°  b.  24.4°  d.  67.5° 

Short Answer


1.

A right triangle has a hypotenuse of 24 m. If one of the angles is 54°,
what is the length of the opposite side?


2.

A right triangle has a hypotenuse of 29 m. If one of the angles is 41°,
what is the length of the adjacent side?


3.

The steps of a stepladder rise at an incline of 60°. If the base of the
ladder is 0.62 m long, how tall is the stepladder?


4.

A doorstop has a height of 2 in. If the doorstop makes an angle of 20° with
the ground, what is the length of its base?


5.

In a right triangle, the side opposite a given angle is 2.1 times larger than
the adjacent side. What is the measure of the angle?
