Question

Right triangle DEF is shown below.What is DF to the nearest tenth of a meter?

Answer 1

Answer: 25.1º

Step-by-step explanation

As the given triangle is a right triangle, we can use trigonometric functions to find DF, specifically:

`\cos x=(adjacent)/(hypotenuse)`

where the adjacent is the side adjacent to our angle and the hypotenuse is the longest side (side opposite to the 90º angle).

Based on this, we can replace the values as follows:

`\cos(23\degree)=(DF)/(27.3)`

Solving for DF:

`DF=27.3\cdot\cos(23\degree)`
`DF=27.3\cdot\cos(23\degree)`
`DF\approx25.1`