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3 years ago

A hiker at the top of a mountain spots his car back in the parking lot at the

Mathematics

1 answer:

mart [117]3 years ago

3 0

<h2>Answer:</h2><h2>The angle of depression from the hiker to his car, Θ = 56.39 degrees</h2>

Step-by-step explanation:

A hiker at the top of a mountain spots his car back in the parking lot at the

bottom of the trail. If the trail is 632 meters long and the mountain is 420

meters tall,

opposite side = 632 m

adjacent side = 420 m

Angle of depression, Θ = arctan $(\frac{opposite}{adjacent} )$

= arctan $(\frac{632}{420} )$

Θ = 56.39 degrees

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100 points! explain well for brainliest

Dima020 [189]

Answer:

Step-by-step explanation:

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$A=\frac{1}{2}bh$

In this case, our base will be the distance from the origin point (0, 0) to (x₁, y₁).

Our height will be the distance from the origin point (0, 0) to (x₂, y₂).

So, let's find each of the distances using the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

BASE:

Let's let (x₁, y₁) be itself and let's let (0, 0) be (x₂, y₂). Substitute this into the distance formula. This yields:

$d=\sqrt{{(0-x_1)^2+(0-y_1)^2$

Simplify:

$d=\sqrt{(-x)^2+(-y)^2$

We can remove the negative:

$d=\sqrt{((-1)x_1)^2+((-1)y_1)^2$

$d=\sqrt{x_1\!^2+y_1\!^2}$

And this is the length of our base.

HEIGHT:

Let' let (0, 0) be (x₁, y₁) and (x₂, y₂) be itself. Substitute them into our distance formula:

$d=\sqrt{(x_2-0)^2+(y_2-0)^2$

Simplify. So, our height is:

$d=\sqrt{(x_2)^2+(y_2)^2$

Therefore, substitute the base and the height for b and h in our equation yields:

$A=\frac{1}{2}(\sqrt{(x_1)^2+(y_1)^2)}(\sqrt{(x_2)^2+(y_2)^2})$

We can combine the square roots by multiplying. So:

$A=\frac{1}{2}\sqrt{(x_1\!^2+y_1\!^2)(x_2 \!^2+y_2\!^2)$

The answer choice that represents this is A.

So, our answer is A.

And we're done!

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4 years ago

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Oksana_A [137]

Answer:

it is A

Step-by-step explanation:

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3 years ago

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Answer:Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in my class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.

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At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou

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First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

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</span>
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Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

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4 years ago

For each of the bookcases a woodworker is building, she

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