Question

Please find the missing side of the triangle and round the answer to the nearest tenth. Thanks.

Answer 1

Answer:

39.6

Step-by-step explanation:

Given in the right angled triangle above are:

Ѳ = 49°,

Adjacent length = 26

Hypotenuse length = x

To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length

Thus,

$cos(49) = \frac{26}{x}$

Multiply both sides by x

$cos(49)*x = \frac{26}{x}*x$

$cos(49)*x = 26$

$0.6561*x = 26$

Divide both sides by 0.6561 to find x

$\frac{0.6561*x}{0.6561} = \frac{26}{0.6561}$

$x = \frac{26}{0.6561}$

$x = \frac{26}{0.6561}$

$x = 39.63$

x = 39.6 (to nearest tenth)