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Salsk061 [2.6K]
4 years ago
9

Please help!! Find A

Mathematics
1 answer:
Triss [41]4 years ago
6 0

Answer:

  (5/2)√13 ≈ 9.0139

Step-by-step explanation:

The longer hypotenuse is found using the Pythagorean theorem as ...

  \sqrt{8^2+12^2}=\sqrt{208}=4\sqrt{13}

The right triangles are AA similar, and vertical sides correspond. Their ratio, smaller/larger is 5/8. That means the hypotenuse of the smaller triangle, A, is 5/8 of the hypotenuse of the larger one.

  A=\dfrac{5}{8}\cdot 4\sqrt{13}= \dfrac{5\sqrt{13}}{2}

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ArbitrLikvidat [17]

34^{\circ} is the angle of depression from the vertical cliff.

Option: A

Step-by-step explanation:

Given that, Height of the cliff (opposite side) = 40m

Distance of object from the base of the cliff (adjecent side)  = 59.3m

To find the angle of depression of the object. From trigonometric rule in a right angled triangle, we know that \tan \theta=\frac{\text { opposite side }}{\text { adjecent side }} \theta=\tan -1 \frac{\text { opposite side }}{\text { adjecent side }} Angle of depression = \tan -1 \frac{\text { height of cliff }}{\text { Distance of object from the base of the cliff }}=\tan ^{-1} \frac{40}{59.3}=34^{\circ} Therefore, the angle of depression to the object is 34^{\circ}.

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4 years ago
The factory receives an order for more than 1,100 boxes. Machine B has already packed 55 boxes. Write and solve an inequality to
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Answer:

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