How to find length of a triangle given one side and angle

Use trigonometric ratio

Step-by-step explanation:

Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle

To solve for one of the two unknown lengths, use trigonometric ratio

There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)

Sine of the angle given = opposite side : hypotenuse side

Cosine of the angle given = adjacent side : hypotenuse side

Tangent of the angle given = opposite side : adjacent side

Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal

To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given