The leaning tower of pisa is inclined 5.5 degrees from the vertical. At a distance of 100 meters from the wall of the tower, the angle of elevation to the top is 30.5 degrees. Use the law of sines to estimate the height of the leaning tower.

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63. How far away is the bird from Amanda?

Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?

A homeowner is trying to build a raised garden bed that has a triangular shape. His neighbor gave him two pieces of lumber with lengths 20 feet and 8 feet and he puts them together to begin his triangle. He is planning to go to the store to buy the third piece of lumber to finish the triangle. He wants to build the triangular garden so that third piece of lumber will make an angle of 40 degrees with the piece that is 20 feet long. Will it be possible for him to make the garden? If so, how long should the third piece of lumber be?

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49o and Stake B measures an angle of elevation of 58o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

Two fire-lookout stations are 15 miles apart, with station A directly east of station B. Both stations spot a fire. The angular direction of the fire from station B is N52°E and the angular direction of the fire from station A is N36°W. How far is the fire from station A?

A farmer owns a triangular plot. One side measures 13 ft and the second side measures 10 ft. The first and third side makes a 32 degrees angle. Find the measurement of the third side using the given data. 

Emma and Alyssa are 20 miles apart and spot a UFO in the sky between them. The angle of elevation from Emma to the UFO is 15o, and from Alyssa to the UFO is 35o. How far away is the UFO from Emma?

Jack is on one side of a 200 feet wide canyon and jill is on other side. Jack and Jill can both see the trail guide at the angle of depression of 60 degrees. How far are they from the trail guide?

James, Anthony, and Jennifer stand at three points, 𝐴, 𝐵, and 𝐶, respectively. Suppose that the measure of the angle 𝐴𝐵𝐶 is equal to 48 degrees, the measure of the angle 𝐵𝐴𝐶 is equal to 54 degrees, and James is exactly 12 feet away from Anthony. Find the distance between Anthony and Jennifer, to two decimal places.