7. Non-Right Triangles

Classify the triangle, then solve: $A=60°,B=15°,c=6$.

The bearing of a lighthouse from a ship was found to be N 37° E. After the ship sailed 2.5 mi due south, the new bearing was N 25° E. Find the distance between the ship and the lighthouse at each location.

In Exercises 1–12, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state 'no triangle.' If two triangles exist, solve each triangle. C = 50°, a = 3, c = 1

Use the Law of Sines to find the length of side $a$ to two decimal places.

Use the Law of Sines to find the angle $B$ to the nearest tenth of a degree.

An engineer wants to measure the distance to cross a river. If $B=30\(\degree\)$, $a=300$$ft$, $C=100\(\degree\)$ find the shortest distance (in $ft$) you’d have to travel to cross the river.

Apply the law of sines to the following: a = √5, c = 2√5, A = 30°. What is the value of sin C? What is the measure of C? Based on its angle measures, what kind of triangle is triangle ABC?

Which one of the following sets of data does not determine a unique triangle?

a. A = 50°, b = 21, a = 19

b. A = 45°, b = 10, a = 12

c. A = 130°, b = 4, a = 7

d. A = 30°, b = 8, a = 4

Use the law of sines to find the indicated part of each triangle ABC.

Find b if C = 74.2°, c = 96.3 m, B = 39.5

Find each angle B. Do not use a calculator.

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Find the length of each side labeled a. Do not use a calculator.

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Find the unknown angles in triangle ABC for each triangle that exists.

A = 29.7°, b = 41.5 ft, a = 27.2 ft

Solve each triangle ABC.

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Find the unknown angles in triangle ABC for each triangle that exists.

C = 41° 20', b = 25.9 m, c = 38.4 m

Solve each triangle ABC.

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