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
saveliy_v [14]
1 year ago
5

In traveling across flat land, you see a mountain directly in front of you. Its angle of elevation (to the peak) is 3.5°. After

you drive 19 kilometers closer to the mountain, the angle of elevation is 9° (see the following figure).
Approximate the height of the mountain (in kilometers). (Round your answer to one decimal place.)

Mathematics
1 answer:
yaroslaw [1]1 year ago
7 0

The height of the mountain is 0. 2 km

<h3>How to determine the height</h3>

First, let's find the hypotenuse of the second triangle

Using the tangent identity, we have;

tan θ = opposite/ adjacent

tan 3. 5 = x/ 19

cross multiply

x = tan 3 . 5 × 19

x = 0. 061 × 19

x = 1. 16 km

Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain

Using the sine identity:

sin 9 = y/ 1.16

cross multiply

y = sin 9 × 1. 16

y = 0. 1564 × 1. 16

y = 0. 18 km

y = 0. 2 km in one decimal place

Thus, the height of the mountain is 0. 2 km

Learn more about angle of elevation here:

brainly.com/question/2004882

#SPJ1

You might be interested in
Whats is equivanlent fractions of 24/84
Aloiza [94]

Answer:

2/7

Step to step explanation:

This question is in other words, asking you to simplify the fraction.

Find the GCF and divide both the denominator and numeratior by the GCF.

The GCF of 24/84 is 12.

24/12 = 2

84/12 = 7.

3 0
3 years ago
There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,
guajiro [1.7K]

Answer:

There are <u>72 inches</u> in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be x.

As given:

In 1 foot there are 12 inches.

<em>So, 1 foot is equivalent to 12 inches.</em>

<em>Thus, 6 feet is equivalent to </em>x<em />

Now, to find using cross multiplication method:

\frac{1}{12} =\frac{6}{x}

<em>By cross multiplying we get:</em>

x=72

So, the inches in 6 feet = 72.

Therefore, there are 72 inches in 6 feet.

3 0
3 years ago
what if erika and Bradley want to hike 14 miles each day? how many days will they hike exactly 14 days?
katrin2010 [14]
You just need to multiply 14 miles by 14 days so the answer is 196
3 0
3 years ago
Read 2 more answers
You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball.
uranmaximum [27]

Answer:

The question needs to state the radius of the styrofoam ball.

4 0
3 years ago
Which graph represents the solution set of this inequality?
lesya692 [45]

Answer:

the answer is C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help meeeeeee
    10·1 answer
  • Let f(x)=-4x+7 and g(x)=10x-6. Find f(g(x))
    15·1 answer
  • I have no idea how to do this. I need some help. Thanks in advance.
    9·1 answer
  • Could someone by any chance help me with this problem?
    5·2 answers
  • The point slope equation for this slope is 2
    10·1 answer
  • PLEASE HELP WILL MARK BRAINIEST
    8·2 answers
  • Someone please explain how to do this
    7·1 answer
  • Gcf of 18,276 and 25, 497
    7·1 answer
  • URGENT PLZZ HELP!!!!
    8·1 answer
  • Someone please help me with this !
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!