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
Sauron [17]
3 years ago
11

PLEASE!!!!Solving for Measures of Right Triangles: Use the diagram to complete the statements. The measure of angle L is °. The

trigonometric ratio that uses ∠M and LN to solve for NM is . The length of NM, to the nearest tenth, is approximately .

Mathematics
2 answers:
lina2011 [118]3 years ago
7 0

Answer:

1. 70

2. tangent

3. 57.7

Step-by-step explanation:

AleksAgata [21]3 years ago
6 0
1) The measure of angle L is 70°<span>
The measure of all the angles of a triangle add up to 180</span>°. You're given two angle measurements: 90° (aka the right angle) and 20° (measure of ∠M). The third angle must be 180°-90°-20°= 70°.

2) The <span>trigonometric ratio is
</span>When you have a right triangle, you can use sine, cosine, and tangent to figure out the lengths of the sides or angle measurements if given enough information. 

Remember SOHCAHTOA!
sinθ = \frac{opposite}{hypotenuse}
cosθ = \frac{adjacent}{hypotenuse}
tanθ = \frac{opposite}{adjacent}
where θ is the angle you determine your adjacent and opposite sides from.

The adjacent side is next to the angle θ (and isn't the hypotenuse) and the opposite side is across from the angle θ. The hypotenuse is the longest side of the triangle and directly across from the 90° angle.

If you look at your picture, LN is opposite ∠M and NM (the angle you're looking for) is adjacent to ∠M, because it isn't the hypotenuse. That means the trigonometric ratio you need is tangent, since tangent uses both opposite and adjacent.

3) The length of NM is 57.7.
Finally solve for the length of NM using tanθ = \frac{opposite}{adjacent}. You will be solving for the adjacent side, so start off by rearranging the tangent equation to solve for adjacent:
tanθ = \frac{opposite}{adjacent}
adjacent(tanθ) = opposite
adjacent = \frac{opposite}{tan\theta}

Now, just plug in the values for θ and the length of the opposite side LN: 
adjacent = \frac{opposite}{tan\theta} \\&#10;adjacent = \frac{21}{tan20} \\&#10;adjacent = \frac{21}{0.364} \\&#10;adjacent = 57.7


You might be interested in
I need answer for a and b show your work
Stels [109]
I have two methods for you

7 0
3 years ago
Find the length of side y. <br> y=_ft
jolli1 [7]

Answer:

x= 0.22947

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can someone help please?
natima [27]
Question 4 is C and im not sure about the other questions
8 0
3 years ago
Help Please!!!!<br> f(x)=-7x+3, D={-12,-4,3,20}
8_murik_8 [283]
Algebra i am really bad at this so don't take my word for it i think maybe 20 SORRY IF WRONG
5 0
3 years ago
Find the slope:<br><br> a line passes through P (3,-7) and Q (-5,5)
nalin [4]

76 mutiply by each other

7 0
2 years ago
Other questions:
  • If x=0,5 the solve 10x
    11·1 answer
  • Need help on this question
    11·1 answer
  • Anna is looking for a new part-time job. They respond to a classified ad for
    6·1 answer
  • What's the aswer and show work
    9·2 answers
  • Please answer this equation what is the answer to 1/4(k-1)=10
    7·2 answers
  • What is the solution to this equation?<br> 2x + 3 = x – 4
    9·1 answer
  • Pls help me im confused
    12·1 answer
  • People with a house number ending in 1 are polled. Is this sample random?<br><br> A) Yes<br> B) No
    11·1 answer
  • Somebody help , i’ll thank you
    5·1 answer
  • Are the expressions equivalent? 10(x + 2); 10x + 5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!