Question

In the triangle ABC, the right angle is at vertex C, A = 48 cm, B = 36 cm, C = 60 cm. What is the value of sine A?"

Option a) 0.7500
Option b) 0.8000
Option c) 1.3333
Option d) 0.6000

Answer 1

The value of sine A in a right triangle ABC is calculated by dividing the length of side A (48 cm) by the length of the hypotenuse C (60 cm), which equals 0.8000. Hence, the correct answer is Option b) 0.8000.

Step-by-step explanation:

The value of sine A in triangle ABC, where the right angle is at vertex C and the lengths of sides A, B, and C are 48 cm, 36 cm, and 60 cm respectively, can be calculated using the definition of sine in a right triangle. The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse. Therefore, sin A = opposite/hypotenuse.

In this case, side A is opposite angle A, and side C is the hypotenuse since it is opposite the right angle. Thus, sin A = A/C = 48 cm / 60 cm = 0.8000.

Therefore, the correct option is Option b) 0.8000.