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<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>
First
angle in front of c is 30°, so hypotenuse is equal to 2c
it's right triangle, so let's use Pythagorean theorem\
Second
b - the base of the triangle, angles at the base are equal ⇒ cathets are equal
it's right triangle, so let's use Pythagorean theorem