Given that the length of the hypotenuse is x and the angle is 53°
The length of one of the leg of the triangle is 45.
We need to determine the value of x.
Value of x:
The value of x can be determined using the trigonometric ratio.
Thus, we have;
[tex]\cos \theta=\frac{a d j}{h y p}[/tex]
Substituting the values, we get;
[tex]\cos \ 53^{\circ}=\frac{45}{x}[/tex]
Simplifying the terms, we have;
[tex]x=\frac{45}{\cos \ 53^{\circ}}[/tex]
[tex]x=\frac{45}{0.6018}[/tex]
Dividing, we have;
[tex]x\approx 74.77[/tex]
Therefore, the value of x is 74.77(app)
Hence, Option B is the correct answer.
