Question

Which equation can be used to solve for c?

Answer 1

Option (a) is correct.

Explanation:

Given a right angled triangle with given dimensions.

We have to find an equation that can be used to solve for side c,

Consider the given triangle ABC,

We know for ∠B = 50° , we have perpendicular = 3 m and hypotenuse is c,

Trigonometric ratio that defines the relation between perpendicular and hypotenuse is Sine.

Using trigonometric ratio,

`\sin\theta=(Perpendicular)/( hypotenuse)`

`\sin 50^(\circ)=(AC)/(AB)`

`\sin 50^(\circ)=(3)/(c)`

Thus, Option (a) is correct.

Answer 2

From the given triangle in the photo, the lengths of the sides are 3m and a, the hypotenuse is c. One angle, opposite of 3m is given to be 50 degrees C. The right equation that would solve c is,
sin (50 degrees C) = 3m / c
Thus, the answer is the first choice.