Question

Need help with this asap!!

Answer 1

≈ 53.7° (Option 3)

Explanation:

In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.

Length of side opposite to angle 'x' = 15 cm

Length of side adjacent to angle 'x' = 11 cm

Using 'tan' formula -
`\tan x = (Side \: opposite \: to \: x)/(Side \: adjacent \: to \: x)` , lets solve this.

`=> \tan x = (15)/(11)`

Using inverse tan function , lets find x.

`=> x = {\tan}^(-1)((15)/(11) )` ≈ 53.74°