SOLUTION: Leilah, who is 1.7 m tall, is standing 8 m from a 5 m tall tree. She looks up to the top of the tree and measures the angle of elevation. What measure did she find?

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Question 1203029: Leilah, who is 1.7 m tall, is standing 8 m from a 5 m tall tree. She looks up to the top of the tree and measures the angle of elevation. What measure did she find?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
If you would draw the description carefully, you will show a right-triangle with a vertical leg 5-1.7=3.3 meters and horizontal leg 8 meters. For x angle of elevation (from her eyes or 'head') cross%28sin%28x%29%29=3.3%2F8.









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NOT sine of x; but TAN%28x%29=3.3%2F8

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Leilah, who is 1.7 m tall, is standing 8 m from a 5 m tall tree.
She looks up to the top of the tree and measures the angle of elevation.
What measure did she find?
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        The solution by josgarithmetic is wrong.
        I came to bring a correct solution. 


The illustration is a right angled triangle with vertical leg of  5-1.7=3.3 meters 
and horizontal leg of  8 meters.


Therefore, for the angle of elevation x we have this equation

    tan(x) = vertical_leg%2Fhorizontal_leg = 3.3%2F8 = 0.4125.


It gives for the angle of elevation x

    x = arctan(0.4125) = 22.42°  (rounded).    ANSWER

Solved.

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Ignore the solution by @josgarithmetic, for the safety of your mind.