If you divide 24/12 it’ll be 2 so either to find the sides you multiply or divide by 2 so if you’re trying to look for JK 8•2 = 16 and QS 16/2 = 8
we are given

We will simplify left side and make it equal to right side
Left side:

we can use trigonometric identity

we can replace it

we know that
csc=1/sin and sec=1/cos
so, we can replace it
and we get

now, we know that
tan =sin/cos

we can simplify it
and we get

we can also write it as

Right Side:

we can see that
left side = right side
so,
......Answer
The length of AC is 16 km.
Solution:
Given data:
AB = c = 14 km, ∠A = 30° and ∠B = 89°
AC = b = ?
<u>Let us first find angle C:</u>
<em>Sum of all angles in a triangle = 180°</em>
m∠A+ m∠B + m∠C = 180°
30° + 89° + m∠C = 180°
119° + m∠C = 180°
Subtract 119° from both sides, we get
m∠C = 61°
<u>To find the length of AC:</u>
<em>Using sine formula:</em>

Substitute the given values in the formula.

Multiply by sin 89° on both sides.



The length of AC is 16 km.
TIP:
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