if sin is close to 53 to 4/5 which is closest to the length of no
4 cm
80 cm
20 cm
10 cm
10 cm
Urrrr wronggggggg
your question makes no sense.
To determine which length is closest to the number you mentioned (53/5), we can take the sine of the given angle and compare it with the given lengths. The sine function is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.
To calculate the sine of an angle, we first need to convert the given angle from degrees to radians. The formula to convert degrees to radians is:
radians = (pi/180) * degrees
Given that the angle is close to 53/5, we can simplify it to 10.6 degrees (rounded to one decimal place).
radians = (pi/180) * 10.6 ≈ 0.185
Now, let's calculate the sine of this angle using a calculator or a math library:
sin(0.185) ≈ 0.183
Now we can compare this value to the given lengths.
- Length 1: 4 cm
- Length 2: 80 cm
- Length 3: 20 cm
- Length 4: 10 cm
Using the sine value we calculated, we compare it to the lengths:
1) |sin(0.185) - 4| ≈ 3.817
2) |sin(0.185) - 80| ≈ 79.817
3) |sin(0.185) - 20| ≈ 19.817
4) |sin(0.185) - 10| ≈ 9.817
From these differences, we can see that the length closest to the sine value of 0.183 is 4 cm because the difference (3.817) is the smallest compared to the other lengths.