194k views
2 votes
Find the value of x in the triangle shown below 3.5 4 3.5 x• 55•

Find the value of x in the triangle shown below 3.5 4 3.5 x• 55•-example-1
User Bryce Cutt
by
4.5k points

2 Answers

3 votes

Answer:

It is 70

Explanation:

Khan Academy

User DRaehal
by
4.9k points
4 votes

Answer:

Explanation:

Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:


(sin55)/(3.5) =(sinx)/(4) and cross multiply to get

4sin55 = 3.5sinx and solve for sinx:


sinx=(4sin55)/(3.5) so

sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle

x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°

User Punkologist
by
4.8k points