Question

Solve for x. Round to the nearest tenth, if necessary.

Answer 1

`x = 0.2`

Explanation:

In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.

`recall: \: cosine = (a)/(h) \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41`

Therefore:

`\cos(41) = (x)/(0.3) \\ \\ 0.75 = (x)/(0.3) \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x`

Since we were asked to round it to the nearest tenth, then the answer would be 0.2.

Answer 2

x = 0.2

Explanation:

Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3

To find value of x:

Solution: In angle DEF, angle E = 90°.

`cos \: 41° = (adjacent \: side)/(hypotenuse) = (DE)/(DF)`

`cos \: 41° \: = (x)/(0.3)`

x = 0.3 × cos 41° = 0.226 ≈ 0.2

Hence x = 0.2

HOPE THIS HELPS AND HAVE A NICE DAY <3