91Ó°ÊÓ

\(33^{\circ} 20^{\prime}\)

Two similar triangles must have equal corresponding angles.

Golf. If the flagpole that a golfer aims at on a green measures 5 feet from the ground to the top of the flag and a golfer measures a \(1^{\circ}\) angle from top to bottom of the pole, how far (in horizontal distance) is the golfer from the flag? Round to the nearest foot.

\(\sin 45^{\circ}=\cos 45^{\circ}\)

Glide Path of the Space Shuttle Orbiter. If the pilot of the space shuttle orbiter is at an altitude of 3000 feet when she is 15,500 feet (approximately 3 miles ground distance) from the shuttle landing facility, what is her glide slope angle (round to the nearest degree)? Is she too high or too low?

Tree Stake. A tree needs to be staked down before a storm. If the ropes can be tied on the tree trunk 10 feet above the ground and the staked rope should make a \(30^{\circ}\) angle with the ground, how far from the base of the tree should each rope be staked? Round to the nearest foot.

\(\tan \left(22^{\circ} 15^{\circ}\right)\)

What values can \(\sin \theta\) and \(\cos \theta\) take on?

Physics/Life Sciences. A diffractometer was used to make a diffraction pattern for a protein crystal from which it was determined experimentally that \(x\)-rays of wavelength \(1.54\) angstroms produced an angle of reflection of \(45^{\circ}\) corresponding to a Bragg reflection of order 1. Find the distance between atomic planes for the protein crystal to the nearest hundredth of an angstrom.

Angle of Elevation (Traffic). A person driving in a sedan is driving too close to the back of an 18 wheeler on an interstate highway. He decides to back off until he can see the entire truck (to the top). If the height of the trailer is 15 feet and the sedan driver's angle of elevation (to the top of the trailer from the horizontal line with the bottom of the trailer) is roughly \(30^{\circ}\), how far is he sitting from the end of the trailer?