Question

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

Answer 1

39.6

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) = (26)/(x)`

Multiply both sides by x

`cos(49)*x = (26)/(x)*x`

`cos(49)*x = 26`

`0.6561*x = 26`

Divide both sides by 0.6561 to find x

`(0.6561*x)/(0.6561) = (26)/(0.6561)`

`x = (26)/(0.6561)`

`x = (26)/(0.6561)`

`x = 39.63`

x = 39.6 (to nearest tenth)