Question

Use the sine function to find length c of a standard right triangle ABC given a=13cm and A=73.4°. Round to four significant digits.

a) 22.46 cm
b) 13.54 cm
c) 30.12 cm
d) 17.81 cm

Answer 1

To find the length of the hypotenuse in a right triangle, we can use the sine function. Given a=13cm and A=73.4°, the length of c is approximately 22.46 cm.

Step-by-step explanation:

To find the length of the hypotenuse (c) in a right triangle, we can use the sine function. The sine function is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Given that a = 13 cm and A = 73.4°, we can use the following equation to find c: c = a / sin(A).

Substituting the known values, we have c = 13 cm / sin(73.4°) = 22.4623 cm.

Rounding to four significant digits, the length of c is approximately 22.46 cm.