SOLUTION: A student stands 29 m away from the foot of a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5m above the ground, is 38°28'. Calcula

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Question 1183402: A student stands 29 m away from the foot of a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5m above the ground, is 38°28'. Calculate the height of the tree to the nearest meter
Found 3 solutions by Solver92311, mananth, ikleyn:
Answer by Solver92311(821)   (Show Source):
You can put this solution on YOUR website!

Height of Tree

Hint: Your calculator may want you to enter the fractional part of a degree as a decimal. If so, then the decimal part of your angle is given by 28 divided by 60.

You can do your own arithmetic.

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
.
tan 38 deg 28' = x/29
x= tan 38deg 28' *29
= 0.79 *29
x= 23 m
height of tree = 23 +1.5 =24.5 m

Answer by ikleyn(52900)   (Show Source):
You can put this solution on YOUR website!
.
A student stands 29 m away from the foot of a tree and observes that the angle of elevation of the top of the tree,
measured from a LEVEL 1.5m above the ground, is 38°28'. Calculate the height of the tree to the nearest meter
~~~~~~~~~~~~~~

            First, I edited the text to make it harmonious.
            Overwise, an unnecessary questions may arise about the table . . . (which is, actually, irrelevant to the problem).

            Second, I re-calculated everything and found out that the answer by @mananth is INCORRECT due to incorrect rounding.

            I present the corrected calculations below.

tan 38 deg 28' = x/29 x = tan 38deg 28' * 29 = = 0.794485554 * 29 = x= 23.04008 m height of the tree = 23.04008 + 1.5 = 24.504008 m = 25 m (rounded as requested). ANSWER

Solved (correctly).