In a right angle triangle, the side adjacent to the 250 angle is 15 cm long. What is the length of the side opposite the 250 angle to the nearest centimeter
How do you get the answer
To find the length of the side opposite the 25° angle in a right-angled triangle, we can use the trigonometric function tangent (tan).
The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this case, we know that the length of the side adjacent to the 25° angle is 15 cm. We can set up the following equation:
tan(25°) = Opposite side / 15
Now, let's solve for the length of the opposite side:
Opposite side = tan(25°) * 15
Using a calculator, we find:
Opposite side ≈ 6.60 cm
Therefore, the length of the side opposite the 25° angle, to the nearest centimeter, is 7 cm.
To find the length of the side opposite the 25° angle in a right-angled triangle, you can use the trigonometric function tangent (tan).
In this case, you have the length of the side adjacent to the 25° angle, which is 15 cm.
The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
So, using the tangent function, you can set up the following equation:
tan(25°) = opposite / adjacent
Substituting the values:
tan(25°) = opposite / 15
Now you can solve for the length of the side opposite the 25° angle by multiplying both sides of the equation by 15:
opposite = 15 * tan(25°)
Using a calculator, find the tangent of 25° and multiply it by 15:
opposite = 15 * tan(25°) ≈ 6.67 cm
Therefore, the length of the side opposite the 25° angle in the right-angled triangle is approximately 6.67 cm, rounded to the nearest centimeter.
Tan25=15/L
L=15cm/tan25deg=....a little larger than 32 cm. Work it out