Question

Consider a right triangle whose two short sides have lengths of 5 and 12 feet, respectively. Then the smallest angle in that triangle is ___.

Answer 1

The smallest angle in the right triangle is approximately 22.62 degrees.

Step-by-step explanation:

The smallest angle in a right triangle can be found using trigonometric functions. In this case, we have a right triangle with two short sides of lengths 5 and 12 feet. To find the smallest angle, we can use the inverse tangent function. The formula for the smallest angle (let's call it angle A) is:

angle A = tan-1(opposite side / adjacent side)

Plugging in the values, we get:

angle A = tan-1(5 / 12)

Using a calculator, we can find that angle A is approximately 22.62 degrees.

Answer 2

Answer:the smallest angle in that triangle is 22.62 degrees

Step-by-step explanation:

The two short sides of the right angle triangle given have lengths of 5 and 12 feet respectively.

The two short sides of the right angle triangle are the opposite side and adjacent side. Therefore, the opposite and adjacent sides are 5 feet and 12 feet. To determine the smallest angle, we would apply trigonometric ratio. Therefore

Tan# = opposite side / adjacent side.

Tan # = 5/12 = 0.4167

# = Tan^-1(0.4167) = 22.62 degrees