Solve the right triangle. If two sides are given, give angles in degrees and minutes.
-The length of the base of an isosceles triangle is $28.35$ meters. Each base angle is $29.73 ^ { \circ }$. Find the length of each of the two equal sides of the triangle. Round your answer to the hundredths place.
A) $16.32 \mathrm {~m}$
B) $28.58 \mathrm {~m}$
C) $24.82 \mathrm {~m}$
D) $32.65 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The correct answer is A.The sum of the base angles is $2 \times 29.73 ^ { \circ } = 59.46 ^ { \circ }$. The third angle is $180 ^ { \circ } - 59.46 ^ { \circ } = 120.54 ^ { \circ }$. The length of each of the two equal sides is $28.35 \mathrm {~m} \times \frac { \sin 60.27 ^ { \circ } } { \sin 29.73 ^ { \circ } } = 16.32 \mathrm {~m}$.

Solve the Right Triangle 28.3528.3528.35 Meters Each Base Angle Is 29.73∘29.73 ^ { \circ }29.73∘

Solve the Right Triangle $28.35$ Meters Each Base Angle Is $29.73 ^ { \circ }$