(Solved): Learning Goal: To use trigonometric functions to determine unknown angles and sides of various tria ...

Learning Goal: To use trigonometric functions to determine unknown angles and sides of various triangles. Three triangles are shown, the first (used in Parts \( \mathrm{A} \) and \( B \) ) is a right triangle with \( W=20.5 \) and \( H=13.0 \), the second (used in Part C) has angles \( \theta=30.0^{\circ} \) and \( \varphi=22.5^{\circ} \) and \( L=23.0 \), and the third (used in Part D) has an angle \( \gamma=121^{\circ} \) and the two smaller sides, \( M \) and \( N \), equal to \( 4.50 \) and \( 9.00 \), respectively. (Figure 1) (Figure 2) (Figure 3) For the fint triangle, what n the vatue of ar? Exprest your answer to three signitieant figurts in degrees. Part \( C \) - Finding \( Y \) in the second trangie For the socend triangie, what is the longh \( \mathrm{Y}^{2} \) ? Express your andeer 10 theee signiticand figures. * Incorrect; Try Again; 2 attempts remaining Part D-Finding the length of side Z of the third triangle For the third triangle, what is the iength of side \( Z \) ? Express your answer to three significant figures.