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mina [271]
3 years ago
6

How far is the top of the lampost from the tip of its shadow?

Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Answer:

About 14.58 ft

Step-by-step explanation:

We have an angle, the side <em>opposite</em> that angle, and the <em>hypotenuse</em> of that triangle. If you remember SOH CAH TOA, the right trig ratio for this problem is <em>sine</em>. In this case, \sin{49^{\circ}=\frac{11}{x}. We want to solve for x, so we can multiply both sides by x to get x\sin{49^{\circ}}=11 and then divide both sides by \sin{49^{\circ}} to get x=\frac{11}{\sin{49^{\circ}}} \approx 14.58

So, the top of the lamppost is about 14.58 ft from the tip of its shadow

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