A plane is flying with an airspeed of 160 mph and heading of 150º. The wind currents are running at 35 mph at 160º clockwise from due north. Find the ground speed of the plane to the nearest hundredth.

Suppose a = 9 and A = 20 degrees.

The angle of elevation of the Sun is 35.1° at the instant the shadow cast by the Washington Monument is 789 feet long. Use this information to calculate the height of the monument.

Raul is standing 75 feet from the base of the world's tallest totem pole in Canada. The angle of elevation from Raul to the tof of the pole is 67 degrees. If Raul is 6 feet tall, how tall is the totem pole?

Plot the point where 0 = -270°

Caitlyn skis along a circular ski trail with a radius 1.4 km long. Caitlyn starts at the 3-o'clock position of the trail (the East-side) and travels in the CCW direction. Which of the following expressions represents Caitlyn's distance to the right of the center of the ski trail in km, h, in terms of the number of km that Caitlyn has traveled since she started skiing, d? Oh = 1.4 cos(d) Oh = 1.4 cos Oh = COS (14) Oh = 1.4 cos (1.4 · d) Oh = 1.4 cos(d + 1.4) 1.4

King Kong stands on the edge of the roof of a 68 foot high building. You poke your head out of a manhole and measure the angles of elevation to the top of King Kong's head and to his feet as 61 degrees and 59.3 degrees respectively. How far is your manhole from the building? How tall is King Kong?

A pilot left an airport and traveled 130 miles eastward when she spotted a UFO directly in her path. She turned northward by 15° to avoid a collison and traveled in this direction for 115 miles. How far is the plane from the airport?

Find the horizontal width of a skateboard ramp if it has height 3 ft and a 20-degree incline. Round your answer to the nearest hundredth of a foot.

An airplane is heading north at an airspeed of 600 km/hr, but there is a wind blowing from the southeast at 80 km/hr. The plane will end up flying degrees off course. The plane's speed relative to the ground will be km/hr. Give your answers accurate to the nearest tenth.