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Use the Table Below for Values Of cos(θ)\cos (\theta) And sin(θ)\sin (\theta)

Question 74

Multiple Choice

Use the table below for values of cos(θ) \cos (\theta) and sin(θ) \sin (\theta) .
θ( degrees ) cos(θ) sin(θ) 100.9850.174200.9400.342300.8660.500400.7660.643450.7070.707500.6430.766600.5000.866700.3420.940800.1740.985\begin{array}{|c|c|c|}\hline \theta(\text { degrees }) & \cos (\boldsymbol{\theta}) & \sin (\boldsymbol{\theta}) \\\hline 10 & 0.985 & 0.174 \\\hline 20 & 0.940 & 0.342 \\\hline 30 & 0.866 & 0.500 \\\hline 40 & 0.766 & 0.643 \\\hline 45 & 0.707 & 0.707 \\\hline 50 & 0.643 & 0.766 \\\hline 60 & 0.500 & 0.866 \\\hline 70 & 0.342 & 0.940 \\\hline 80 & 0.174 & 0.985 \\\hline\end{array}

A projectile is launched with an initial velocity of 500ft/s500 \mathrm{ft} / \mathrm{s} at an angle of 4545^{\circ} above the horizontal, from the roof of a building 92 feet above the ground.
A. How long will it take for the projectile to land on the ground? Round to the nearest hundredth of a second.
B. How far did the projectile travel horizontally before landing on the ground?


A) a) 15.98 seconds, b) 7901 feet
B) a) 15.98 seconds, b) 5588 feet
C) a) 22.35 seconds, b) 5588 feet
D) a) 22.35 seconds, b) 7901 feet

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