37.) A pilot flies in a straight path for 1 hour and 30 min. She then makes a course correction, heading 10 degrees to the right of her original course, and flies 2 hours in the new direction. If she maintains a constant speed of 655 miles per hour, how far is she from her starting position?

Answer:miles

40.) A plane is flying at an elevation of 26000 feet

It is within sight of the airport and the pilot finds that the angle of depression to the airport is15degrees

Find the distance between the plane and the airport.

Find the distance between a point on the ground directly below the plane and the airport.

41.) A hot-air balloon is floating above a straight road. To calculate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be16degrees and 20 degrees

How high (in feet) is the ballon?

42.) A32 ft ladder leans against a building so the the angle between the ground and the ladder is81degrees

How high does the ladder reach on the building?

43.) Evaluate the following expressions. Your answer must be a fraction or an integer. No decimal numbers. If the answer involves a square root it should be written assqrt. E.g. the square root of 2 should be written as sqrt(2).

sin(cos^-1(12/13)) =

tan(sin^-1(4/5)) =