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3 years ago

Item 15

Mathematics

1 answer:

velikii [3]3 years ago

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5734758
hope this helped

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A forest ranger stands at the top of a 120 foot fire tower. He spots a fire 900 feet away from the base of the tower. What is th

allochka39001 [22]

Answer: $7.6\°$

Step-by-step explanation:

You need to draw a right triangle as the one attached, where $\alpha$ is the angle of elevation from the fire to the top of the fire tower.

You need to use the Inverse trigonometric function Arctangent:

$\alpha= arctan(\frac{opposite}{adjacent})$

Observe the triangle. You can identify that:

$opposite=120\\adjacent=900$

Then, you can substitute values:

$\alpha= arctan(\frac{120}{900})$

Finally, evaluating, you get that the angle of elevation from the fire to the top of the fire tower is the following:

$\alpha =7.59\°$

Rounded to the the nearest tenth of a degree:

$\alpha\approx7.6\°$

4 0

3 years ago

How many 5 minute intervals are between 4:35 pm and 5:00 pm

Butoxors [25]

Answer: There are 5 five minute intervals.

<em>I hope this helps, and Happy Holidays! :)</em>

4 0

3 years ago

Read 2 more answers

Henry rolls a fair dice 42 times. How many times would Henry expect to roll a number greater than 5?

Sonja [21]

Answer:

7 times

Step-by-step explanation:

There is one number greater than 5 on a dice - that is the number 6.

So probability of throwing a six = 1/6.

So it is 42 * 1/6.

5 0

3 years ago

Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x

Anni [7]

The angle the line joining the given points make with the positive direction of the x-axis is 341.56°

The angle Ф between two points (x₁,y₁) and (x₂,y₂) is gotten from tanФ = (y₂ - y₁)/(x₂ - x₁).

Since (x₁, y₁) = (3b, a) and (x₂, y₂) = (3a, b)

Substituting the values of the variables into the equation, we have

tanФ = (y₂ - y₁)/(x₂ - x₁)

tanФ = (b - a)/(3a - 3b)

tanФ = -(a - b)/3(a - b)

tanФ = -1/3

taking inverse tan of both sides, we have

Φ = tan⁻¹(-1/3)

Φ = -tan⁻¹(1/3)

Φ = -18.43°

Converting to a positive angle, we have

Φ = -18.43° + 360°

Φ = 341.56°

So, the angle the line joining the given points make with the positive direction of the x-axis is 341.56°

Learn more about angle between two points here:

brainly.com/question/25731151

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3 years ago

Hello can someone Help? It math I would really appreciate! But please please DO NOT ANSWER IF ITS A LINK CALLED BIT.

Scilla [17]

Answer:

25.132741228718

Step-by-step explanation:

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3 years ago