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
olganol [36]
3 years ago
8

1. You are standing on top of a ridge using a clinometer trying to figure out how far your dog has wandered off in

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0

<u>Given:</u>

It is given that the ridge is 360 inches tall.

<u>Assumptions:</u>

Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is 360+67 = 427 inches.

The distance from your eye level to the bottom of the ridge is 427 inches.

Assume the angle A is 60°.

<u>To find the distance from you to your dog.</u>

<u>Solution:</u>

A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.

Assume the hypotenuse of the triangle measures x inches.

To determine the length of the hypotenuse, we determine the cos of the angle.

cos \theta = \frac{adjacent side}{hypotenuse} .

cos A = \frac{427}{x} , x = \frac{427}{cos60} , cos60=0.5.

x=\frac{427}{0.5} = 854.

So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.

You might be interested in
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem
Naily [24]

Answer: 1406

Step-by-step explanation:

Given Table :

Admissions   Probability

1,040                0.3

1,320                0.2

1,660                0.5

Now, the expected number of admissions for the fall semester is given by :-

E(x)=p_1x_1+p_2x_2+p_3x_3\\\\\Rightarrow\ E(x)=0.3\times1040+0.2\times1320+0.5\times1660\\\\\Rightarrow\ E(x)=1406

Hence, the expected number of admissions for the fall semester = 1406

3 0
3 years ago
Estimate the product of 28.21 times 8.02
Elina [12.6K]
The answer would be 226.2442. 
8 0
3 years ago
Read 2 more answers
If cosX = -0.2, and x is in quadrant II, then what it the value of sinX​
Tems11 [23]

\sin x>0 when x is in quadrant II, so

\cos^2x+\sin^2x=1\implies\sin x=\sqrt{1-\cos^2x}=\sqrt{1-(-0.2)^2}\approx1.02

7 0
3 years ago
Read 2 more answers
Match each statement to it’s corresponding reason. Drake the items on the left to the correct location on the right PLEASE AND T
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

1) \angle AED and \angle BEC are vertical angles

2) \angle AED and \angle BEC are created by intersecting lines (definition of vertical angles)

3) \angle AED and \angle AEB form a linear pair, \angle AEB and \angle BEC form a linear pair

4)  \angle AED and \angle AEB are supplementary, \angle AEB and \angle BEC are supplementary

5) \angle AED \cong \angle BEC

6 0
2 years ago
HELP memejeieieooJSINEKEJEHEIE
Galina-37 [17]
We can determine the limit by direct substitution. f(-1) is 2, and thus that is the limit there. g(2), however, does not exist because the left and right limits do not agree
6 0
3 years ago
Read 2 more answers
Other questions:
  • Use long division to find a repeated decimal equivalency for the fraction. Upload all of your work as part of your final answer.
    8·2 answers
  • Sam’s brother is 7 years older than Sam . His mother is 4 less than 3 times Sam’s age . Their combined age is 63 . How old is Sa
    5·1 answer
  • I need help with these 2 questions my dudes. I have tried solving them, but I don't know what I'm doing.
    11·2 answers
  • Find the coordinites of the midpoint of the segment with the given endpoints. -9 and 4
    6·1 answer
  • Two adjacent supplementary angles are
    13·1 answer
  • The ratio of pages read to minutes for Hang is 5 : 8. Who has a greater ratio of pages read to minutes than Hang? Select all tha
    5·1 answer
  • HELP NEED ANSWER FOR HOMEWORK
    11·2 answers
  • A quadratic trinomial is a trinomial in the form x 2 + b x + c or a x 2 + b x + c with a degree of ___.
    9·1 answer
  • I need help with number 3
    14·2 answers
  • Answer... please i need
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!