9514 1404 393
Answer:
40 in
Explanation:
The given equation is intended to remind you that ...
t^2 + 30^2 = 50^2
t^2 + 900 = 2500
t^2 = 2500 -900 = 1600
t = √1600 = 40
The height of the tent is ...
t = 40 in
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Additional comment
You may notice that the side lengths of the right triangle are in the ratio ...
30 : 40 : 50 = 3 : 4 : 5
This (3, 4, 5) ratio is commonly seen in algebra and geometry problems. It is worthwhile learning to recognize its various forms.