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?

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)   (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') .

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NOT sine of x; but
Answer by ikleyn(52803)   (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) = = = 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.

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