Trigonometry Quiz 1

If you are given the opposite side and hypotenuse, which trig function should you use?

• sine

• cosine

• tangent

• inverse cosine

What side is adjacent to angle J?

• 9

• 40

• 41

• none

Find tan( α) in the triangle.

• $\frac{21}{29}$

• $\frac{21}{20}$

• $\frac{20}{29}$

• $\frac{20}{21}$

Find sin(α) in the triangle.

• $\frac{12}{35}$

• $\frac{35}{12}$

• $\frac{35}{37}$

• $\frac{12}{37}$

Find the measure of angle α in the triangle to the nearest degree.

• 14

• 19

• 30

• 71

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?

• 25 feet

• 45 feet

• 110 feet

• 135 feet

Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how long is the kite string?

• 6.6 feet

• 15.2 feet

• 10.3 feet

• 20 feet

Find the length of the hypotenuse in simplest radical form with a rational denominator.

• $5\sqrt{2}$

• $5\sqrt{3}$
  

• 10

• 13