Answer:
Step-by-step explanation:
The angle we are given is 2° and we are given the opposite leg, 135 ft. We are trying to find the hypotenuse length- the diagonal distance from the ship to the lighthouse.
So, we use SOHCAHTOA with sine:
[tex]sin(2)=\frac{opp}{hyp}= \frac{135}{x}[/tex]
[tex]x = \frac{135}{sin(2)} = 3868.251 ft[/tex]
Keep in mind that the angle is in degrees. Also, the number is large because of the extremely short angle.
