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
Alex787 [66]
3 years ago
8

In △ABC, m∠ACB=90°, m∠ACD=60°, CD is the altitude to AB , and BD = 5 cm. Find AD.

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer:

5cm

Step-by-step explanation:

Find the diagram attached.

From ΔBCD, ∠BCD = 90-∠ACD

∠BCD = 90-60

∠BCD = 30°

Also tan60 = CD/BD

tan 60 = CD/5

CD = 5tan60

CD = 5√3 cm

Similarly from ΔACD, tan30 = CD/AD

tan30 = 5√3/AD

AD = 5√3/tan30

AD =  5√3/(1/√3)

AD = 5√3 * √3/1

AD = 5 cm

Hence the length of side AD is 5cm

You might be interested in
Solve for X and round to the nearest hundredth
Archy [21]

Answer:

Pretty sure it's 20.24.

Step-by-step explanation:

Since you know the side adjacent to the reference angle and you want to find the side opposite, you're going to need to use tangent, which is opp/adj.

tan(39) = \frac{x}{25}

Find the tangent of 39...

0.8097 is the approximate value. So...

0.8097 = \frac{x}{25}

Now, switch the sides to make it easier.

\frac{x}{25} = 0.8097

Multiply both sides by 25.

x = 20.24

3 0
3 years ago
9. If 15 men working 10 days earn $500. How much will 12 men earn working 14,
Leno4ka [110]

Answer:

Firstly need to understand the questions.

If 15 men working 10 days, They earn 500.

If 12 men working 14 days, how much they will earn?

Step-by-step explanation:

560

Solution:

15 men working for 10 days =500

1 man working for 1 day = 500/(10*15) =10/3

Now 12 men working for 14 days = 12*14*10/3 =560.

I am pretty sure that answer is right.

Thank you :)

6 0
3 years ago
I need help solving Pythagorean theorem
viktelen [127]
Since theirs no question...

The formula for PT:

a^+b^=c^
5 0
3 years ago
Complete the sentence below.<br><br> The expression 52x – 169 is equivalent to 13(<br> )
gladu [14]

Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

7 0
3 years ago
Read 2 more answers
Wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and w
SpyIntel [72]

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

8 0
3 years ago
Other questions:
  • Given f(x) = 2x + 5 and g(x) = 3x + 6
    7·1 answer
  • It is 3.67 miles to your grandparents’ home.
    7·2 answers
  • Which ones do not represent a function and which ones do represent a function and why?​
    11·1 answer
  • I need help with math​
    7·1 answer
  • Solve each system by eliminating one of the variables by addition or<br> subtraction.
    14·1 answer
  • What is 30 miles in km?
    6·1 answer
  • A pet-sitting business's income for the month of July was $3,680. Expenses were $3,290. Use integer addition to find the busines
    6·1 answer
  • Isaiah is having his house painted. He paid $525 for the required materials, and he will pay $30 an hour for the painters to com
    15·1 answer
  • Write an algebraic expression for 14 more than the difference of r and s.
    12·1 answer
  • Match the expression to its corresponding simplified version.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!