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
3 less than the quotient of 20 and x
lions [1.4K]
To write this it would be 20/x-3. I hope this helped. :) 
5 0
3 years ago
Find the equation of the line perpendicular to the<br> given line through the point (1,9). y=1/3x+5
Ivan

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])

For example:

Slope = \frac{1}{3}

Perpendicular line's slope = -\frac{3}{1}  or  -3

Slope = -2 or -\frac{2}{1}

Perpendicular line's slope = \frac{1}{2}

y=\frac{1}{3} x+5    The given line's slope is \frac{1}{3}, so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = -3x + b    To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation

9 = -3(1) + b      Add 3 on both sides to get "b" by itself

9 + 3 = -3 + 3 + b

12 = b

y = -3x + 12

3 0
3 years ago
Read 2 more answers
20 Points! Please Help!
ivolga24 [154]

To solve this problem yo need to have the "x", the "y", and the radius. To find the radius since it is not given we use the formula.

sq rt(-3^2+1^2)

sq rt(9+1)

sq rt(10) would be the length of the radius in this case.

Then we use the sine cosine and tangent fractions

sin:y/r

cos:x/r

tan:y/x

With the values plugged in the equations are

SIN:1/sqrt(10) Since there can´t be a sq rt in hte denominator we change it to 1(sq rt(10))/10

COS:-3/sqrt(10) Since there can´t be a sq rt in the denominator we change it to -3(sq rt(10))/10

TAN:1/-3 This one can stay the same.

This would be the measures of SIN, COS, and TAN.

3 0
3 years ago
Emma jogs 2 miles along the beach in
Juli2301 [7.4K]

Answer:

<h3><u>3 times the time --> 3 times the distance</u></h3>

Step-by-step explanation:

Emma jogs 2 miles along the beach in 1/3 of an hour. If she travels at a constant rate, how far will she jog in an hour?

6 0
3 years ago
Read 2 more answers
You flip a coin eight times. find the number of possible outcomes in the sample space.
nika2105 [10]
2( coin faces) 8( number of times)
6 0
3 years ago
Other questions:
  • Jennifer has 84 yards of fabric. She makes 6 identical curtains and has 18 yards of fabric left over. Which equaton and solution
    13·1 answer
  • If f(x) is parallel to the line y= 3/4x + 2/5, which function could be f(x)?
    13·2 answers
  • Solve – 7 = √ 2x – 9.
    9·2 answers
  • Place an operation sign between two of the digits to make the equation true 1 9 6 2 1 8=109
    14·2 answers
  • Translate the sentence into an inequality.
    11·1 answer
  • Canterbury Cycles sells Harleys and pays each salesperson a commission of $800 for each cycle sold. During the month of December
    9·2 answers
  • Plz help ( 2x10^4)^4 thanks
    14·1 answer
  • Complete the sequence given below:<br> 2,2,5,13,28,?
    12·2 answers
  • I need an answer today!!!
    5·2 answers
  • PLEASE HELP ASAP NOW OMG GIVE BRAINLIST HELP PLEASEEEE
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!