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
shutvik [7]
3 years ago
11

You want to measure the height of a tree growing vertically on the side of a hill. The hill makes an angle of 20°with the horizo

ntal. Standing 15ft. downhill from the base of the tree, you measure the angle formed by the hill and the top of the tree to be 45°. Find the height of the tree to the nearest foot. Show your work.

Mathematics
1 answer:
seropon [69]3 years ago
4 0
We need to solve for the height of the tree and we need to define the variable that would represent this value. In this case, we assign "y" for the unknown height of the tree. See attached picture for better comprehension.
Solving for the variable "a" which is base of downhill to the tree, we have it:
cos 20° = a / 15 ft
a = 15*cos 20°
a = 14.095 feet
Solving for the variable "x" which is the side of the hill to the base of the tree, we have it:
sin 20° = x / 15 ft
x = 15 * sin20°
x = 5.130 feet
Solving for the variable "y", which is the height of the tree, we have it:
tan 45° = (x+y) / a
tan 45° = (5.13 + y) / 14.095
y = 14.095*tan45° - 5.13
y = 8.965 feet

The height of the tree is 8.965 feet.

You might be interested in
6. Find the measure of each<br> marked angle.
Katyanochek1 [597]
ANSWER : both angles are 60 degrees and x is equal to 8.
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60

Please mark as brainliest
8 0
3 years ago
Hi, can someone help on this?
marissa [1.9K]

Answer:

i beleive its 9 and 1 if im reading that right

Step-by-step explanation:

8 0
3 years ago
You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this m
Delicious77 [7]
178.50 = 11.90y + 10.50x ⇒ equation in standard form.

4 0
3 years ago
Help me out with these please!
garik1379 [7]

Step-by-step explanation:

1. a) q=4+0.8(7)

q=4+5.6

q=9.6

b) q=4+0.8(100)

q=4+80

q= 84

2. a) 12=4+0.8p

-4 -4

<u>8</u>=<u>0.8p</u>

0.8 0.8

10=p

b) 60=4+0.8p

-4 -4

<u>56</u>=<u>0.8p</u>

0.8 0.8

70=p

8 0
2 years ago
Read 2 more answers
Question 15 of 25
Slav-nsk [51]

Answer:

Step-by-step explanation:

Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are

(x + 8)(x + 4) = 0, then by the Zero Product Property,

x + 8 = 0 so x = -8 or

x + 4 = 0 so x = -4. Choice A.

5 0
3 years ago
Other questions:
  • F(x)=2x²+3x-4<br> what if the function is: f(√2)
    9·2 answers
  • What is the vale of ■ in this equation?<br>7×9=(7×10)-(7×■)
    13·2 answers
  • The table below shows the numbers of tickets sold at a movie theater on Friday.
    12·1 answer
  • Gamma rays have a ___ charge <br><br> -1<br> 0<br> +1<br> +2
    10·1 answer
  • Select the graph that represents the following inequality: Ix+2.5I&gt;1.5
    6·1 answer
  • Correct answers only please!
    10·1 answer
  • Oceanside Bike Rental Shop charges a 16 dollar
    12·2 answers
  • Find y given that x = –4: y = –4x – 6
    13·2 answers
  • Work out<br>1/8<br>of 760<br><br>please help​
    5·1 answer
  • 3. An architectural blueprint is drawn to a scale of 1:20.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!