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Kamila [148]
3 years ago
6

The entrance ramp to an arena rises 4.5 feet for every 50 feet of horizontal distance it covers. What is the slope of the ramp?

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

Answer:

9/10 or 0.9

Step-by-step explanation:

As we move 50 feet horizontally, the far end of the ramp reaches 4.5 feet above ground level.  Thus, the slope is m = rise / run = 4.5/50 = 9/10 or 0.9.

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From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.
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The ships are 66 meters apart.

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For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is d_1 and it is given by

tan (61^o)= \dfrac{50}{d_1}

d_1=\dfrac{50}{tan (61^o)}

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And the distance to the ship B is d_2 and is given by

tan (28^o)= \dfrac{50}{d_2}

d_2=\dfrac{50}{tan (28^o)}

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