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,
[tex] cos(49) = \frac{26}{x} [/tex]
Multiply both sides by x
[tex] cos(49)*x = \frac{26}{x}*x [/tex]
[tex] cos(49)*x = 26 [/tex]
[tex] 0.6561*x = 26 [/tex]
Divide both sides by 0.6561 to find x
[tex] \frac{0.6561*x}{0.6561} = \frac{26}{0.6561} [/tex]
[tex] x = \frac{26}{0.6561} [/tex]
[tex] x = \frac{26}{0.6561} [/tex]
[tex] x = 39.63 [/tex]
x = 39.6 (to nearest tenth)
