A GPS tower is located on a hillside that has an inclination of \( 15^{\circ} \). From a point 70 feet uphill from the foot of the tower, the angle of elevation to the top of the tower is \( 72^{\circ} \). Find the height of the GPS tower. The height of the GPS tower is about \( \square \) feet. (Round to the nearest foot as needed.)

(c) \( \sin (\pi+x)+\cos \left(\frac{\pi}{2}-x\right)+\tan \left(\frac{\pi}{2}+x\right)+\tan \left(\frac{3 \pi}{2}-x\right) \)

In \( \triangle X Y Z, x=410 \) inches, \( y=450 \) inches and \( z=210 \) inches. Find the measure of \( \angle X \) to the nearest degree.

In \( \triangle \mathrm{GHI}, g=9.6 \) inches, \( m \angle \mathrm{I}=80^{\circ} \) and \( m \angle \mathrm{G}=15^{\circ} \). Find the length of \( h \), to the nearest 10th of an inch.

In \( \triangle \mathrm{NOP}, n=54 \) inches, \( o=97 \) inches and \( p=95 \) inches. Find the measure of \( \angle \mathrm{N} \) to the nearest degree.

In \( \triangle \mathrm{PQR}, p=4.7 \) inches, \( m \angle \mathrm{P}=76^{\circ} \) and \( m \angle \mathrm{Q}=57^{\circ} \). Find the length of \( q \), to the nearest 10th of an inch.