Find altitude of isosceles triangle if angle=53 degrees and base is 8 inches.
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Arctan 53 = X/8 (assuming the angle is between the hypotenuse and the base, as well as the altitude being the height of the triangle).
x = 10.62.
Because your face sickens me
To find the altitude of an isosceles triangle, we need to use trigonometry. In this case, since we know the angle and the base of the triangle, we can use the tangent function.
The tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In our case, to find the altitude, we need to find the length of the side opposite the given angle. Let's call this side 'x'.
Using the tangent function, we can write:
tan(angle) = opposite/adjacent
tan(53 degrees) = x/8 inches
Now we need to isolate 'x' on one side of the equation. We can do this by cross-multiplying:
tan(53 degrees) * 8 inches = x
To find the value of the tangent of 53 degrees, we can use a scientific calculator. Alternatively, you can use an online calculator or math software. The tangent of 53 degrees is approximately 1.327.
Substituting this value into the equation:
1.327 * 8 inches = x
Multiplying:
10.616 inches = x
Therefore, the altitude of the isosceles triangle is approximately 10.616 inches.