Question

Need help with this asap!!

Answer 1

Answer:

≈ 53.7° (Option 3)

Step-by-step 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 - $\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}$ , lets solve this.

$=> \tan x = \frac{15}{11}$

Using inverse tan function , lets find x.

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