SOLUTION: Jamal sees a tree on the shore directly across a lake and wonders what the distance is across the lake to the tree. He turns 90 degrees to the right and walks in a straight line fo

Question 434006: Jamal sees a tree on the shore directly across a lake and wonders what the distance is across the lake to the tree. He turns 90 degrees to the right and walks in a straight line for 100 meters. Jamal turns to face the tree and finds the angle between his line of sight and his path measures 25 degrees. Which of the following is closest to the distance, in meters, from Jamal's intial position on the tree? (note: sin-25 degrees=0.42, cos degrees=0.91, tan 25 degrees=0.47)
a)42 b)47 c)91 d)213 e)238
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jamal sees a tree on the shore directly across a lake and wonders what the distance is across the lake to the tree. He turns 90 degrees to the right and walks in a straight line for 100 meters. Jamal turns to face the tree and finds the angle between his line of sight and his path measures 25 degrees. Which of the following is closest to the distance, in meters, from Jamal's intial position on the tree?
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Draw the picture.
You have a right triangle with base = 100 m,
and angle opposite the distance across the lake
equal to 25 degrees.
---
Let dist. across lake be "x":
tan(25 degree) = x/100
x = 100*tan(25 degrees)
x = 100*0.4663
x = 46.63 meters
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Cheers,
Stan H.
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a)42 b)47 c)91 d)213 e)238

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