The lengths of the hypotenuse and one leg of a right triangle are 10.5 and 3.7, respectively. Find the measure of the angle opposite the leg whose length is known.
A) $20.63^{\circ}$
B) $69.37^{\circ}$
C) $19.41^{\circ}$
D) $9.83^{\circ}$
E) $46.90^{\circ}$

Question

The lengths of the hypotenuse and one leg of a right triangle are  10.5  and 3.7, respectively. Find the measure of the angle opposite the leg whose length is known.
A) $20.63^{\circ}$
B) $69.37^{\circ}$
C) $19.41^{\circ}$
D) $9.83^{\circ}$
E) $46.90^{\circ}$

Quizplus · Accepted Answer

Using the cosine of the angle, $\cos(\theta) = \frac{adjacent}{hypotenuse} = \frac{3.7}{10.5}$. Solving for $\theta$ gives approximately $20.63^{\circ}$.

The Lengths of the Hypotenuse and One Leg of a Right