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
julsineya [31]
3 years ago
9

Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin

e to the swingset is 30.26° and Emir is 14 feet from the ground How many feet is the base of the treehouse from swingset? Round your answer to the nearest foot
ANSWERS:
15 feet
20 feet
18 feet
24 feet​
Mathematics
1 answer:
boyakko [2]3 years ago
6 0
<h3>Answer:  24 feet  (Choice D)</h3>

=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

You might be interested in
How do you find the 19-4c=17
tester [92]
19-4c=17
-4c=17-19
-4c=-2
c=-2/-4
c=0.5
or
c=1/2
6 0
3 years ago
Chloe has a 20 gift card she uses the gift card to buy 10 music downloads for 0.89 each. she wants to use the gift card to buy a
Reil [10]

Answer:

she spends 8.90 dollars for the music  

Step-by-step explanation:

you just multiply them

6 0
2 years ago
Read 2 more answers
Solve for x and y: x=5−2y 6y=10−3x
Mama L [17]

we have

x=5−2y ---> multiply by 3 both sides-----> 3x=15-6y-----> 6y=15-3x----> equation 1

6y=10−3x------> equation 2


equation 1 and equation 2 has the same slope

the lines are parallel

slope m=-3/6-----> m=-1/2

so

there are no solution


the answer is the option

b. There is no solution


7 0
3 years ago
A card game has 50 cards. After dealing 7 cards to each player, tupi has 15 cards left over. solve the equation
KIM [24]
50 - 15 = 35

35 ÷ 7 = 5

So there were 5 players and your equation would be:-

50 - 15 ÷ x = 5

x = 7

Hope i helped:P  
5 0
3 years ago
What are two fractions equivalent to 12/14
Andrews [41]

Hey there!

12/14

• BOTH NUMBERS HAVE THE COMMON FACTOR OF 2, SO WE CAN DIVIDE BOTH THE NUMERATOR (TOP number) FROM THE DENOMINATOR (BOTTOM number)

= 12 ÷ 2 / 14 ÷ 2

= 6/7

= 18/21

Therefore, your answer is: 6/7 or 18/21

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0
3 years ago
Read 2 more answers
Other questions:
  • Larissa earns base salary of $500.00 per week plus commission on any sales. How much will she have to sell to earn $750.00 week?
    10·1 answer
  • How would I find the day of my next birthday without using a calendar and maybe a linear sequence.
    10·1 answer
  • Find a solution for the equation y = 4x - 3.
    13·1 answer
  • A campground has cabins that can each hold 28 campers. There are 148 campers visiting the campground. How many cabins are full i
    7·1 answer
  • What is the value of 20/6 = p/2
    10·2 answers
  • 2/9 divided by 7/9<br> could you help me with this please i really need help please.
    13·2 answers
  • Al Shelf knows his goods are marked up 36 percent on cost. If a TV cost Al $280, what would the selling price be?
    12·1 answer
  • -17 + 20 + (-3)<br> SOMEBODY HELP ME PLS ASAP
    15·1 answer
  • Solve 4_3=3x+y=2y+5x_12​
    10·1 answer
  • Please help me solve
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!