91Ó°ÊÓ

Refer to right triangle \(A B C\) with \(C=90^{\circ}\). Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Also, write your answers for angles in decimal degrees.If \(B=77.66^{\circ}\) and \(a=43.21\) inches, find \(b\).

Add or subtract as indicated. $$ 90^{\circ}-\left(62^{\circ} 25^{\prime}\right) $$

A ladder is leaning against the top of a \(7.0\)-foot wall. If the bottom of the ladder is \(4.5\) feet from the wall, what is the angle between the ladder and the wall?

Add or subtract as indicated. $$ 180^{\circ}-\left(120^{\circ} 17^{\prime}\right) $$

Refer to right triangle \(A B C\) with \(C=90^{\circ}\). Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Also, write your answers for angles in decimal degrees.If \(a=16 \mathrm{~cm}\) and \(b=26 \mathrm{~cm}\), find \(A\).

If a \(73.0\)-foot flagpole casts a shadow \(51.0\) feet long, what is the angle of elevation of the sun (to the nearest tenth of a degree)?

Bearing and Distance Two planes take off at the same time from an airport. The first plane is flying at 255 miles per hour on a bearing of \(\mathrm{S} 45.0^{\circ} \mathrm{E}\). The second plane is flying in the direction \(\mathrm{S} 45.0^{\circ} \mathrm{W}\) at 275 miles per hour. If there are no wind currents blowing, how far apart are they after 2 hours? What is the bearing of the second plane from the first after 2 hours?

Add or subtract as indicated. $$ 180^{\circ}-\left(112^{\circ} 19^{\prime}\right) $$

If the angle of elevation of the sun is \(63.4^{\circ}\) when a building casts a shadow of \(37.5\) feet, what is the height of the building?

Refer to right triangle \(A B C\) with \(C=90^{\circ}\). Begin each problem by drawing a picture of the triangle with both the given and asked for information labeled appropriately. Also, write your answers for angles in decimal degrees.If \(a=42.3\) inches and \(b=32.4\) inches, find \(B\).