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
lubasha [3.4K]
3 years ago
12

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Trian

gle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters. What is the length of Line segment A C? Round to the nearest tenth. 3. 0 in. 9. 8 in. 10. 5 in. 12. 8 in.
Mathematics
1 answer:
kaheart [24]3 years ago
7 0

The length of line segment BC is 10.5 inches.

Given that

The equation tan(55 degrees) equals 15/b, which can be used to find the length of Line segment AC.

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

We have to determine

What is the length of Line segment AC?

According to the question

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

Here, BC is not the hypotenuse of the right triangle ABC.

The length line segment AC is given by,

In triangle ABC

\rm Tan\theta = \dfrac{Perpendicular}{Base}

Where \rm tan\theta = 55 degrees, Perpendicular = 15 and base is b.

Substitute all the value in the equation

\rm Tan\theta = \dfrac{Perpendicular}{Base}\rm\\\\ Tan55= \dfrac{15}{b}\\\\b = \dfrac{15}{Tan55}\\\\b = \dfrac{15}{1.42}\\\\b = 10.5 \ inches

Hence, the length of line segment BC is 10.5 inches.

To know more about Trigonometry click the link given below.

brainly.com/question/13350002

You might be interested in
Round 5.456 to the nearest tenth.​
docker41 [41]

Answer:

5.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare among the 3 of the
NeX [460]

Total number of friends = 3

Let the fare be = $ J

As it is equally divided, each friend has to pay \frac{J}{3} amount

Angela paid $5 additional as tip so her share is \frac{J}{3}+5

Hence,Angela paid $\frac{J}{3}+5 in total.

3 0
4 years ago
Read 2 more answers
How to find the area of a circle that has a 66 degree angle and a radian of 10
DedPeter [7]
Check the picture below.

7 0
3 years ago
How do you find the value of t in -t/7=1/15
kolezko [41]
First, multiply the 7 on both sides.
\frac{-t}{7} =  \frac{1}{15}
-t =  \frac{7}{15}
Finally divide by -1 on both sides to get t = -7/15 as your answer.
3 0
4 years ago
A number is called evil if it has 666 in it. How many 7 digit numbers are evil?
defon

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

5 0
3 years ago
Other questions:
  • Convert 2032four to base 10
    6·1 answer
  • Please help! Which one is it!?
    5·1 answer
  • Help please. Question is in picture.
    6·2 answers
  • Help me please,Thanks
    6·2 answers
  • ZA=<br> Round your answer to the nearest hundredth.<br> С<br> 5<br> B<br> 7<br> ?<br> А
    10·1 answer
  • What is the measure of the missing angle? 90 and 28<br>​
    6·1 answer
  • Please help, due today
    6·1 answer
  • Which ordered pair is a solution to the equation y=3x-10​
    9·1 answer
  • Ben is showing his work in simplifying (3.9 − 9.4) − 0.6 + 6.1. Identify any error in his work or reasoning.
    15·2 answers
  • Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart be
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!