2. sketch each triangle and solve if possible. (solve means to find all the missing angles and side…

2. sketch each triangle and solve if possible. (solve means to find all the missing angles and side lengths). in a diagram in your answer. in △jkl, <j = 90°, <k=62° and j=7.2 km

2. sketch each triangle and solve if possible. (solve means to find all the missing angles and side lengths). in a diagram in your answer. in △jkl, <j = 90°, <k=62° and j=7.2 km

Answer

Explanation:

Step1: Find angle L

The sum of angles in a triangle is 180°. So, $\angle L=180^{\circ}-\angle J - \angle K$. Given $\angle J = 90^{\circ}$ and $\angle K=62^{\circ}$, then $\angle L=180^{\circ}-90^{\circ}-62^{\circ}=28^{\circ}$.

Step2: Use sine - ratio to find side k

We know that $\sin K=\frac{k}{j}$. Given $j = 7.2$ km and $\angle K = 62^{\circ}$, then $k = j\sin K=7.2\times\sin62^{\circ}\approx7.2\times0.8829 = 6.36$ km.

Step3: Use cosine - ratio to find side l

We know that $\cos K=\frac{l}{j}$. Given $j = 7.2$ km and $\angle K = 62^{\circ}$, then $l = j\cos K=7.2\times\cos62^{\circ}\approx7.2\times0.4695 = 3.38$ km.

Answer:

$\angle L = 28^{\circ}$, $k\approx6.36$ km, $l\approx3.38$ km