To determine the slope of a hill, surveyor Luis Flores asks his assistant for the value of the sine function at an angle of 52°.What was the assistant’s response?

Sure, let's determine the value of the sine function at an angle of 52° step by step.

1. Identify the angle: The angle given is 52°.
2. Use a calculator or trigonometric table: To find the sine of 52°, you can use a scientific calculator or a trigonometric table.
3. Calculate the sine: Input the angle into the calculator to find the sine value.

Using a scientific calculator:

• Enter 52.
• Press the "sin" button.

The sine of 52° is approximately 0.7880.

So, the assistant’s response would be: "The sine of 52° is approximately 0.7880."

Sure, let's determine the value of the sine function at an angle of 52° step by step.

1. Identify the angle: The angle given is 52°.
2. Use a calculator or trigonometric table: To find the sine of 52°, you can use a scientific calculator or a trigonometric table.
3. Calculate the sine: Input the angle into the calculator and use the sine function.

Using a scientific calculator:

• Enter 52.
• Press the sine (sin) button.

The value of sin(52°) is approximately 0.7880.

So, the assistant’s response would be: "The value of the sine function at an angle of 52° is approximately 0.7880."