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
34kurt
2 years ago
14

Both Derek and Sam are 5 feet 10 inches tall. Derek looks at a 10 foot basketball

Mathematics
1 answer:
dusya [7]2 years ago
4 0

Dereck and Sam are standing 3.1 feet apart.

The situation forms two right angle triangle.

<h3>What is a right angle triangle? </h3>

A right angle triangle is a triangle that has one of its angles as 90 degrees.

Derek looks at a 10 foot basketball goal with an angle of elevation of 29°.

Sam looks at the goal with an angle of elevation of 43°.

Sam is directly in front of Dereck. Therefore,

Dereck distance from the base of the basket ball can be found as follows:

tan 29 = opposite / adjacent

opposite side = 10 ft - 5.83 ft = 4.17 ft

tan 29  = 4.17 / x

x = 4.17 / 0.55430905145

x = 7.52287913948

x = 7.523

Sam distance from the base of the basket ball can be found as follows

tan 43 = 4.17 / y

y = 4.17 / 0.93251508613

y = 4.47177752084

y = 4.471

There feet apart = 7.523 - 4.471 = 3.052  = 3.1 feet

learn more on elevation here:brainly.com/question/24442138?referrer=searchResults

You might be interested in
I need help with this.
Dovator [93]

Answer:

Hello first one is 4.

Second one is 8

Step-by-step explanation:

First one is f(0). It means you should put zero in the place of x

0 is less than 5 so you should put zero in x+4=f(x)

For the second one do like the first one.

I hope you understand

6 0
2 years ago
. i will give brainliest.A man is 26 years older than his son. He is also 8 years older than three times his son’sage.
Shkiper50 [21]

Step-by-step explanation:

Let the son's age be x and man be y

y=26+x

y=8+3x

x=9

Son's age is 9

6 0
3 years ago
Read 2 more answers
Given a circle with the radius of 9.42ft. Find the circumference of this circle.
fredd [130]

Answer:

C≈59.19

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️

7 0
2 years ago
Read 2 more answers
Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t
konstantin123 [22]
Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.

Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
7 0
3 years ago
Clayton plays basketball on a team. He has played three games so far . In the first game, he scored 10 points. In the second gam
Fofino [41]

Answer:

Clayton's average points per game is 10

Step-by-step explanation:

To find an average add all the numbers and divide the sum by the amount of numbers added.

In this case, 10 + 14 + 6 = 30. \frac{30}{3} = 10

Hope this helps!

-MoCKEry

3 0
3 years ago
Other questions:
  • Freezing Pipes
    14·1 answer
  • What is ten times as much as .09
    6·1 answer
  • What is the general form of the equation of the given circle with its center at A
    15·1 answer
  • Solve for m<br><br> 3−2(9+2m)=m
    9·2 answers
  • How is the interquartile range calculated? HELP WITH APEX PLEASE!
    14·2 answers
  • Help me Please!!!!!!!!!!
    10·1 answer
  • 1. A survey was taken
    11·1 answer
  • 1 mile is equivalent to 1.6 km how many kilometres is equal to 23 miles
    12·1 answer
  • QUICK HELP I NEED TO ANSWER THIS QUESTION<br><br><br><br> WHO ASKED???
    7·1 answer
  • Please help me, I have more
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!