A woman standing on a hill sees a flagpole that she knows is 40 ft tall. The angle of depression to the bottom of the pole is 14 degrees, and the elevation to the top of the pole is 18 degrees. Find her distance from the pole. (Round your answer to one decimal place.)

The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet Your answer is feet.

You are standing on top of a cliff 500 ft. above the ocean looking out at the water.  You see a whale surface 3000 ft. from the base of the cliff.  What is the angle of depression from your vantage point to the whale? Write your answer using degrees rounded to the nearest hundredth.

Tristan spots a green hot air ballon due east from him at an angle of elevation of 25° at a festival. He turns due west and sees a blue hot air balloon at an angle of elevation of 60°. If the altitude of the green balloon is 345 meters, and the altitude of the blue balloon is 675 meters, and Tristan is 1.8 meters tall, find the 11. distance between the balloons. Round answer to nearest whole number. Show all work