SOLUTION: At a point A on level ground, the angle of elevation to the top of a shed is 20° . If a person walked 30.0 m away from point A, from the shed, to point B, the angle of elevation d
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Question 1204848: At a point A on level ground, the angle of elevation to the top of a shed is 20° . If a person walked 30.0 m away from point A, from the shed, to point B, the angle of elevation decreases by 12°. Find the height of the shed. Found 2 solutions by josgarithmetic, mananth:Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! This is a typical exercise coming up from time to time. Many like it have been solved by now.
Use description to draw and label the diagram.
If x is point A to shed bottom
and
y is how tall the shed, then
and now solve. You want to finish with numerical value for y.
You can put this solution on YOUR website! At a point A on level ground, the angle of elevation to the top of a shed is 20° . If a person walked 30.0 m away from point A, from the shed, to point B, the angle of elevation decreases by 12°. Find the height of the shed.
the angle of elevation decreases by 12° It becomes 8 deg
y height of shed
x distance from shed to point A on ground
tan 20 = y/x
tan 8 = y/(x+30)
\
tan 20 *x = tan 8 *(x+30)
x tan 20 - xtan8 =30 tan 8
x(tan 20-tan 8)= 30 tan 8
x = 30* tan 8/ (tan 20-tan 8)
tan 20 = y/x
y= x*tan 20 deg The height of shed
Use calculator to evaluate
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