Two observers are 400 ft apart on opposite sides of a tree. The angles of elevation from the observers to the top of the tree are 15° and 20° .Find the height of the tree.

Two airplanes flying together in formation take off in different directions. One flies due east at 350 mph, and the other flies east-northeast at 380 mph. How far apart are the two airplanes 2 hr after they separate, assuming that they fly at the same altitude?

A vertical flagpole stands beside a road that slopes at an angle of 15° with the horizontal. When the angle of elevation of the Sun is 62° the flagpole casts a 16-ft shadow downhill along the road. Find the height of the flagpole.

Two observers are 600 ft apart on opposite sides of a flagpole. The angles of elevation from the observers to the top of the pole are 19° and 21° Find the height of the flagpole.

Dr. Thom Lawson standing on flat ground 62 ft from the base of a Douglas fir measures the angle of elevation to the top of the tree as 72°24'. What is the height of the tree?

Two triangles can be formed using the given measurements. Solve both triangles. B = 38°, b = 21, c = 25

A Ferris wheel has 16 evenly spaced cars. The distance between adjacent chairs is 15.5 ft. Find the radius of the wheel (to the nearest 0.1 ft).

Tony must find the distance from A to B on opposite sides of a lake. He locates a point C that is 860 ft from A and 175 ft from B. He measures the angle at C to be 78° . Find distance AB.

Two meteorologists are 25 mi apart located on an east-west road. The meteorologist at point A sights a tornado east of north. The meteorologist at point B sights the same tornado west of north. Find the distance from each meteorologist to the tornado. Also find the distance between the tornado and the road.

Two markers A and B on the same side of a canyon rim are 56 ft apart. A third marker C, located across the rim, is positioned so that ∠BAC = 72° and ∠ABC = 53°. Find the distance between the two canyon rims. (Assume they are parallel.)

Solve the triangle. A = 32°, a = 17, b = 11

Two markers A and B on the same side of a canyon rim are 56 ft apart. A third marker C, located across the rim, is positioned so that ∠BAC = 72° and ∠ABC = 53°.. Find the distance between C and A.

Juan wants to find the distance between two points A and B on opposite sides of a building. He locates a point C that is 110 ft from A and 160 ft from B, as illustrated in the figure. If the angle at C is 54° , find distance AB.

Graph each function in the interval from 0 to $2 \pi.$ $y=3 \sin \frac{1}{2} x$