right triangle has an acute angle of 24.8 and an adjacent length of 145 what is the side opposite of the acute angle
idk bbg but i cld guess 42
tangent = opposite / adjacent
tan 24.8 ° = x / 145
x = 145 * tan 24.8 °
x = 145 * 0.462065
x = 66.9994
x = aprox. 67
To find the side opposite the acute angle in a right triangle, we can use the trigonometric function tangent.
In this case, the acute angle is 24.8 degrees, and the adjacent length is 145. Let's denote the side opposite the acute angle as "x."
The tangent function is defined as the ratio of the side opposite the acute angle to the adjacent side:
tangent(angle) = opposite side / adjacent side
So, the equation becomes:
tan(24.8) = x / 145
To isolate x, we can rearrange the equation as follows:
x = tan(24.8) * 145
Now, we can calculate the value of x using a calculator:
x ≈ tan(24.8) * 145
x ≈ 0.4609 * 145
x ≈ 66.74
Therefore, the side opposite the acute angle in this right triangle is approximately 66.74.