SOLUTION: Loookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37 degrees 50' E. How far is the fire from B?

Question 53614: Loookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37 degrees 50' E. How far is the fire from B?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Loookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37 degrees 50' E. How far is the fire from B?
-----------
Draw the picture. You have a right triangle at pt. B.
One leg of that angle is 15 km.
The other leg is the distance you are looking for (call it "x")
and it is opposite the given angle.
EQUATION:
tangent (37 deg. 50')= x/15
x=15*tan(37.83 deg)=15(0.7765...)=11.65 km
Cheers,
Stan H.
RELATED QUESTIONS
two fire-lookout stations are 29 miles apart, with station B directly east of... (answered by ankor@dixie-net.com)

Two fire look-out stations are 20 miles apart with station B directly east of station A.... (answered by Edwin McCravy)

Two Coast Guard stations, A and B, are on an east-west line and are 110 km apart. The... (answered by Theo)

Two Coast Guard stations, A and B, are on an east-west line and are 72 km apart. The... (answered by josgarithmetic,rothauserc)

Two Coast Guard stations, A and B, are on an east-west line and are 115 km apart. The... (answered by CPhill)

Two Coast Guard stations, A and B, are on an east-west line and are 120 km apart. The... (answered by greenestamps)

Fire station A and station B are 20 miles apart. They both respond to the same fire.... (answered by drk)

A and B are two lorry stations 600m apart. A fire station C in on the bearing 042° from... (answered by math_tutor2020)

The fire is cited from to fire lookout stations that are 2 miles apart. From station a,... (answered by josgarithmetic)