1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Keith_Richards [23]
3 years ago
8

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

You might be interested in
100 points! explain well for brainliest
Dima020 [189]

Answer:

A

Step-by-step explanation:

Remember that the formula for the area of a triangle is:

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!

5 0
4 years ago
Read 2 more answers
I would really appreciate it if someone could answer and explain this problem thanks :)
Oksana_A [137]

Answer:

it is A

Step-by-step explanation:

Vertical angles are angles that are opposite eachother

3 0
3 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
Ber [7]

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.

8 0
3 years ago
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
jeka94
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:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π11^{2}= 121π ≈ <span>380.13 (area of the pool)</span>
π16^{2}= 256π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
804.25 - 380.13 = 424.12 (area of the walkway)

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

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)


6 0
4 years ago
For each of the bookcases a woodworker is building, she
Naya [18.7K]

35x100 hours = $3500+$65= $3565 for 100 hours of work and materials.

7 0
3 years ago
Read 2 more answers
Other questions:
  • 60000ft² divided by 3 floors and 2 buildings is? How much each floor for each building?
    7·1 answer
  • WILL GIVE BRAINLIEST
    15·1 answer
  • Which equation is graphed here?
    6·1 answer
  • What could be the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent
    6·1 answer
  • 18 points please help pic inserted
    7·1 answer
  • Which of the following graphs are identical?
    15·1 answer
  • A woman is three times as old as her son 8 years ago, the product of their ages was 112 find their ages​
    12·1 answer
  • Answer the triangle
    11·2 answers
  • If A(x,1),B(-3,7), C(-5,9), and D(5,4) find the value of x so that AB||CD
    15·1 answer
  • ∠ 1 and ∠ 2 are complementary angles, if ∠ 1= 3x+10 and ∠ 2 = 4x-25. Find the measurement of ∠ 1 and ∠ 2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!