(1) To find X
using trigonometry function. opposite = 18, Hypotaneus = 25
Then using:
[tex]\begin{gathered} \sin \theta\text{ = }\frac{OP\P}{\text{ADJ}} \\ \sin \theta\text{ =}\frac{18}{25} \\ s\text{in}\theta=0.72\text{ } \\ \theta=sin^{-1}(0.72) \\ \theta\text{ = }46.05^{\cdot} \end{gathered}[/tex]
(2) To find Z,
X + Z + 90 = 180 (sum of angle in a triangle)
46.05 + Z +90 = 180
136.05 + z = 180
Z = 180 - 136.05
Z = 43.94 degrees
(3) To find XY, by using Pythagoras Theorem, we have.
[tex]\begin{gathered} (Hyp)^2=(Opp)^2+(Adj)^2 \\ 25^2=18^2+XY^2 \\ 625=324+XY^2 \\ 301=XY^2 \\ XY^2\text{ = 301} \\ XY\text{ = }\sqrt[]{301} \\ XY\text{ = 17.34} \end{gathered}[/tex]
