Question

Can someone help me with number 10? Thank you.

Answer 1

Answer:

• east 95 km
• south 89 km

Step-by-step explanation:

SOH CAH TOA can remind you of the relationships between triangle measures. The distance east is the side of the right triangle that is opposite the angle, so is related to the hypotenuse (ship's travel distance) by the sine function.

  sin(43°) = (travel distance)/(distance east)

So, ...

  (distance east) = (travel distance)·sin(43°)

Likewise, the cosine function can be used to find the distance south.

Then we have ...

  east = (130 km)sin(43°) ≈ 95 km

  south = (130 km)cos(43°) ≈ 89 km