91Ó°ÊÓ

Directions: Standard notation for triangle \(A B C\) is used throughout. Use a calculator and round off your answers to one decimal place at the end of the computation. Solve the triangle ABC under the given conditions. $$B=25.4^{\circ}, a=6.8, c=10.5$$

The surveyor in Example 4 stands at the edge of another ravine, which is known to be 115 feet wide. She notes that the angle of depression from the edge she is standing on to the bottom of the oposite side is \(64.3^{\circ} .\) How deep is this ravine?

Directions: Standard notation for triangle \(A B C\) is used throughout. Use a calculator and round off your answers to one decimal place at the end of the computation. Solve the triangle ABC under the given conditions. $$A=118.2^{\circ}, b=16.5, c=10.7$$

A straight road leads from an ocean beach into the nearby hills. The road has a constant upward grade of \(3^{\circ} .\) After taking this road for one mile, how high above sea level (in feet) are you?(GRAPH CAN'T COPY)

A swimming pool is three feet deep in the shallow end. The bottom of the pool has a steady downward drop of \(12^{\circ} .\) If the pool is 50 feet long, how deep is it at the deep end?

A buoy in the ocean is observed from the top of a 40 -meterhigh radar tower on shore. The angle of depression from the top of the tower to the base of the buoy is \(6.5^{\circ} .\) How far is the buoy from the base of the radar tower?

Solve the triangle. The Law of Cosines may be needed. $$b=14.6, c=7.8, B=40.4^{\circ}$$

One plane flies west from Cleveland at 350 mph. A second plane leaves Cleveland at the same time and flies southeast at 200 mph. How far apart are the planes after 1 hour and 36 minutes?

Two ships leave port, one traveling in a straight course at \(22 \mathrm{mph}\) and the other traveling a straight course at \(31 \mathrm{mph}\) Their courses diverge by \(38^{\circ} .\) How far apart are they after 3 hours?

A plane takes off at an angle of \(6^{\circ}\) traveling at the rate of 200 feet/second. If it continues on this flight path at the same speed, how many minutes will it take to reach an altitude of 8000 feet?