Answer:
Explanation:
Based on the given information, we can use trigonometry to find the measurement of the indicated angle. Since we know the length of the hypotenuse and the length of the opposite side, we can use the sine function.
The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. Mathematically, it can be expressed as:
sin(theta) = opposite/hypotenuse
where theta is the measure of the indicated angle.
Plugging in the given values:
opposite = 17 cm
hypotenuse = 8 cm
sin(theta) = 17/8
Now, we can use the inverse sine function (arcsin) to find the value of theta:
theta = arcsin(17/8)
Using a calculator, we can determine the value of theta to be approximately 71 degrees (rounded to the nearest whole degree).
Therefore, the measurement of the indicated angle would be 71 degrees (rounded to the nearest whole degree).