Answer:
d. 34°
Step-by-step explanation:
In the question above, we are ask to find Ф, to find Ф we can simply use trigonometric formula and they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cos Ф = adjacent / hypotenuse
tan Ф = opposite / adjacent
The side considered adjacent is that side that both the angle Ф and angle the right angle is formed. The hypotenuse side is the side opposite to the right angle.
So from the diagram above, adjacent = 72 and hypotenuse =87, since we were giving just adjacent and opposite, the best trig. formula to use is CAH.
So lets proceed;
cos Ф = adjacent / hypotenuse
= 72 / 87
= 0.82759
cos Ф = 0.82759
To get the value of Ф , we simply take the [tex]cos^{-1}[/tex] of Ф
so;
cos Ф = 0.82759
Ф = [tex]cos^{-1}[/tex] ( 0.82759)
Ф = 34.1
Ф = 34° to the nearest degree
