Question

Three sticks are arranged to form a right triangle. If the length of the three sticks are 0.47 m, 0.062 m, 0.78 m, what are the three angled of the triangle?

A) 90, 45, 45
B) 90, 62, 28
C) 90, 59, 31
D) 90, 45, 42
E) 90, 53, 37

Answer 1

The angles of the right triangle are 90 degrees, 29.83 degrees, and 60.17 degrees.

Step-by-step explanation:

To determine the angles of a right triangle, we can use the trigonometric ratios. In a right triangle, one angle is always 90 degrees. Let's label the sides of the triangle as A, B, and C. Side A is the longest side, so it will be opposite the right angle. Side B will be adjacent to the angle we are trying to find, and side C will be the hypotenuse. We can use the sine, cosine, or tangent ratios to find the angle.

Let's use the cosine ratio:
cos(angle) = adjacent/hypotenuse
cos(angle) = 0.47/0.78
angle = cos-1(0.47/0.78)
angle = 29.83 degrees

So the angles of the right triangle are 90 degrees, 29.83 degrees, and the remaining angle can be found by subtracting the sum of the other two angles from 180 degrees:
remaining angle = 180 - 90 - 29.83
remaining angle = 60.17 degrees