3 years ago

Find the area of this triangle.

Mathematics

1 answer:

Aloiza [94]3 years ago

3 0

Answer: 144

Step-by-step explanation: Its probally wrong

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Multiply the number of kindergarten students by the number of tasks to get how many possible ways the tasks could be assigned.

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Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 deg

exis [7]

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(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

Please find the attachment.

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(9^{\circ})=\frac{380}{x}$

$x=\frac{380}{\text{tan}(9^{\circ})}$

$x=\frac{380}{0.158384440325}=2399.22557$

Therefore, the ship is approximately 2399.23 meters away from the shore.

$\text{tan}(5^{\circ})=\frac{380}{x+y}$

$x+y=\frac{380}{\text{tan}(5^{\circ})}$

$x+y=\frac{380}{0.087488663526}$

$2399.22557+y=4343.419875$

$y=4343.419875-2399.22557$

$y=1944.194305\approx 1944.19$

Therefore, the both ships are approximately 1944.19 meters apart.

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