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k0ka [10]
3 years ago
12

A 24 foot long tree casts a shadow that is 9 feet long at the same time a nearby building casts a shadow of 45 feet long how tal

l is the building
Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

i think the answer you're looking for is 60

Step-by-step explanation:

24-9=15

45+15=60

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Answer:

sin\theta_1 =  - \frac{2\sqrt{70}}{19}

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We are given that \theta_1 is in <em>fourth</em> quadrant.

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Using \theta_1 in place of \theta:

sin^2\theta_1 + cos^2\theta_1 = 1

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\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{280}{361}\\\Rightarrow sin\theta_1 =  \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 =  +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}

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