The distance of B from the boat is 8.99 miles
To calculate the distance of the the boat from B we use cosine rule.
What is cosine rule?
Cosine rule is a formula use to find one side of a triangle if two sides and an angle is given.
Cosine rule formula can be stated as
- R² = P²+Q²-2PQcos∅.............. Equation 1
From the question,
⇒ Given:
- Q = 5 mile
- P = 10 miles
- ∅ = 65°
⇒ Substitute these values into equation 1 and solve for R
- R² = 5²+10²-(2×5×10)cos65°
- R² = 125-(100×0.442)
- R² = 125-44.2
- R² = 80.8
- R = √(80.0)
- R = 8.99 miles
Hence, the distance of B from the boat is 8.99 miles.
Learn more about cosine rule here: https://brainly.com/question/23720007
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