67,244 views
45 votes
45 votes
In ALJK, k = 480 cm, j = 420 cm and LJ=43°. Find all possible values of ZK, to the

nearest 10th of a degree.

User Baris Senyerli
by
2.8k points

1 Answer

4 votes
4 votes

Answer:


image


image

Explanation:

Given


image


image


image

Required

Find the measure of K

The value of K ranges from:
image

To do this, we apply sine rule;


image

So, we have:


image

Cross multiply


image

Make sin K the subject


image


image


image

Take arc sin of both sides


image


image

Recall that:
image

The other possible value of K is:


image


image

User Mateusz Grotek
by
3.3k points