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zlopas [31]
4 years ago
13

A hiker walks along a path and comes to a cliff. He wants to find out how high the cliff is, so he ties a 110 foot cable to a ro

ck at the top, and tosses the rest of the cable over the cliff. When the hiker gets to the bottom, he pulls the cable to length, and measures the angle that it makes with the ground. What function will he use to determine the height of the cliff, and what is the height if the angle is 25º?

Mathematics
1 answer:
solmaris [256]4 years ago
3 0

Answer:

B. sine; 46.5 feet high

Step-by-step explanation:

In this case, we use trigonometric ratio.

Assuming the horizontal ground, the cable and the height of the cliff forms a triangle,

The cable is the hypotenuse, the height of the cliff is opposite to the angle formed by the cable and the horizontal ground.

Thus; the most appropriate function is sine

Such that;

Sine θ = Opposite/Hypotenuse

Where; θ = 25°, opposite is the height of the cliff and hypotenuse is the cable, 110 ft

Therefore;

Sine 25° = Opp/ 110

Hence;

Opp = 110 ft × sine 25°

        =  46.488 ft

         = 46.5 ft

Therefore;

The function is Sine, and the height of the cliff is 46.5 ft high

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Answer:

James town is 5 meters higher than Takoradi​ .

Step-by-step explanation:

Given:

Height of James town = 2 meters below sea level

Height of Takoradi town = 7 meters below sea level

To find:

How much higher is James town that Takoradi = ?

Solution:

As we can see the standard of height is how much the town is below the sea level.

So, the height of town having lesser value will be at a higher level.

Value of Height of James town is lesser than that of Takoradi town.

Therefore, James town is at a higher level.

Difference of height = 7 meters - 2 meters = 5 meters

So, the answer is:

James town is 5 meters higher than Takoradi.

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3 years ago
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Step-by-step explanation:

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4 0
2 years ago
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Step-by-step explanation:

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3 years ago
PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW
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Answer: Choice C

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===============================================

Explanation:

Vertex form is y = a(x-h)^2 + k where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have y=  \frac{1}{2}(x-5)^2 - 2 which is the same as y = \frac{1}{2}(x-5)^2 + (-2) and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

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Answer:

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