SOLUTION: In the triangle KLM the length of KM is approximately what?: (Round to the nearest tenth) KL= 7in Angle M= 110 degrees Angle L=30 degrees

Question 453477: In the triangle KLM the length of KM is approximately what?: (Round to the nearest tenth)
KL= 7in
Angle M= 110 degrees
Angle L=30 degrees
Answer by pedjajov(51) (Show Source): You can put this solution on YOUR website!
If we draw a height (h) from vertex M it forms two right triangles LNM and KNM where N is a point where height h intersects KL.
:
It also divides KL into two pieces x=KN and y=LN:
-> x=7-y
:
Knowing that angle L=30 and angle M=110, it makes angle K=40.
Now we have:
-> h=tan(30)*y
-> h=tan(40)*x
:
, substitute x with 7-y

y=4.1
:
x=7-y -> x=7-4.1 -> x=2.9
:
We can find KM knowing that:

KM=3.8

RELATED QUESTIONS
The area of triangle EFG is approximately what?:(if necessary, please round your answer... (answered by richard1234,stanbon)

Find each measure using the given measures of Triangle KLM. Round measures to the... (answered by Alan3354)

In triangle ABC , Angle A = 127� b = 9 cm, c = 8.5 cm. The length of a is... (answered by Alan3354)

In the diagram triangle KLM is similar to triangle LNM. KL is 15 Km is 18 ND lN IS 10 (answered by ikleyn)

In triangle ABC: Angle A = 56 degrees AB=11 ft BC=13ft What is the measure of angle... (answered by stanbon)

A right triangle with one angle with one angle measuring 55 degrees and a hypotenuse of... (answered by ikleyn)

Draw a right triangle with one angle measuring 25 degrees and a hypotenuse of 87 units.... (answered by fractalier)

Given: ΔKLM, KL = LM = 13in, KM = 10in. Find: The area of... (answered by ikleyn)

The question says," Sketch the triangle and use the Law of Cosine to find the indicated... (answered by studystack)