Find x (the longer leg of the right triangle). the shorter leg is 18 m and the tip is at 34 degrees
If x is opposite the angle, then
x/18 = tan34°
If x is adjacent to the angle, then
18/x = tan34°
Looks like it's time to review your basic trig functions
90-34 = 56o = The angle opposite the longer side.
Tan56 = X/18.
X = 18*Tan56 = 26.7 m.
To find the longer leg of the right triangle, you can use trigonometric functions. In this case, you can use the sine function.
The sine 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 hypotenuse. In this case, the longer leg is the side opposite the given angle of 34 degrees.
Using the sine function, the formula to find the longer leg (x) is:
sin(34 degrees) = x / 18 m
To isolate x, you can rearrange the formula:
x = 18 m * sin(34 degrees)
Now, you can use a scientific calculator or online calculator with trigonometric functions to find the sine of 34 degrees. Let's assume the sine of 34 degrees is approximately 0.5592.
Substituting the value into the formula:
x = 18 m * 0.5592
x ≈ 10.07 m
Therefore, the longer leg (x) of the right triangle is approximately 10.07 meters.