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
n200080 [17]
3 years ago
9

See image, finding the height of a triangle with law of sines

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

Step-by-step explanation:

The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117

°.

angle TDE = 117°

angle DTE = 180° - 117° - 31° = 32°

DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491  = 0.52991926423TD

178.409189149  = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

TD  =  336.672397461

TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

Using sin ratio

sin 63° = opposite/hypotenuse

sin 63° = h/336.67

cross multiply

h = 336.67 × 0.89100652418

h = 299.975166498

height of the Eiffel tower  ≈ 300.0 m(nearest tenth of a meter)

You might be interested in
If sin(x) = 0.4, then what is tax (x)?
Ad libitum [116K]

Answer:

0.43

Step-by-step explanation:

x = sin^-1(0.4)

x = 23.57

tan(23.57) = 0.436

3 0
3 years ago
Read 2 more answers
What is the derivative of f(x)= 1/5(x^2 + 2)^5/2?
vlabodo [156]

Answer:

x(x^2+2)^3/2

Step-by-step explanation:

y'=1/2(x^2+2)^3/2.2x

= x(x^2+2)^3/2

8 0
1 year ago
Read 2 more answers
Raul wants to put wood shavings in his rabbit cage. The floor of the cage measures 1 yard wide by 5 feet long. One bag of shavin
melisa1 [442]

Answer:

1.5 bags

Step-by-step explanation:

Width = 1 yard = 3 feet

Length = 5 feet

Square feet(area) of the floor = 5ft × 3ft = 15sqft

1 bag = 10sqft

x bag = 15sqft

x bags = (15 × 1)/10 = 1.5 bags

4 0
3 years ago
Me. Fuller has 8/3 pies left over from her party. How can you write the number of pies she has left over as a mixed number?
zvonat [6]
You could say that, "Mr.Fuller has 2 2/3 pies left over from his party.
6 0
3 years ago
Read 2 more answers
Solve the inequality. 1/3+x+2/9>5/6
Anettt [7]

Answer:

5⁄18 < x

Step-by-step explanation:

Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you <em>5⁄9</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>></em><em> </em><em>⅚.</em><em> </em>Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is <em>x</em><em> </em><em>></em><em> </em>5⁄18. Although the answer is written in reverse, it is still the same concept.

I am joyous to assist you anytime.

4 0
3 years ago
Other questions:
  • One-half of the sum of 3 times v and twenty-eight
    10·2 answers
  • 36 is _______% less than 60?
    7·2 answers
  • Subtract fractions like 42/7- 2 1/5
    14·1 answer
  • What is 4 plus 4 plus 4 plus 4 plus 1,3456
    10·2 answers
  • What is the area of the trapiziod
    10·2 answers
  • Solve and graph -11 + 4u &lt; 1
    13·1 answer
  • Ain a paper airplane contest Amanda plane flew 19 ft farther than Darren's plane flew twice as are as Rachel's plane. Rachel's p
    7·2 answers
  • Find the volume of the following figure using unit cubes.
    10·1 answer
  • Complete the equivalent addition expression for each subtraction
    5·1 answer
  • Find the volume of the cylinder. Use 3.14 for T. Round to the nearest tenth.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!