In right triangle ABC below, what is the sine of <A?
this triangle has 7 cenimeteres and 24 cenimeters.
To find the sine of angle A in a right triangle, we need to know the lengths of two sides of the triangle. In this case, you have provided the lengths of two sides, which are 7 centimeters and 24 centimeters.
To find the sine of angle A, we can use the formula:
sine of angle A = opposite / hypotenuse
In a right triangle, the side opposite to angle A is side BC, and the hypotenuse is the longest side, which is side AC.
Therefore, we can substitute the given lengths into the formula:
sine of angle A = length of side BC / length of side AC
= 7 cm / 24 cm
Calculating this, we get:
sine of angle A β 0.2917
So, the sine of angle A in this triangle is approximately 0.2917.