Question

n this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box. x = cm A right triangle with one leg labeled x and the hypotenuse labeled 85 centimeters. The angle that is opposite the leg labeled x centimeters is labeled 63 degrees.

Answer 1

See the attached picture to better understand the problem

we know that
in the right triangle ABC
sin 63°=AB/BC
AB is the opposite side angle 63-----> x cm
BC is the hypotenuse-----> 85 cm
AB=BC*sin 63°-----> AB=85*sin 63-----> AB=75.736 cm
AB=75.8 cm

the answer is
the value of x is 75.8 cm

Answer 2

Answer:

75.7 meters.

Step-by-step explanation:

Please find the attachment.

We have been given that a right triangle with one leg labeled x and the hypotenuse labeled 85 centimeters. The angle that is opposite the leg labeled x centimeters is labeled 63 degrees.

To find the value of x we will use sine as sine relates the opposite side of a right triangle to hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

Upon substituting our given values in above formula we will get,

$\text{sin}(63^{\circ})=\frac{x}{85}$

$0.891006524188=\frac{x}{85}$  

$0.891006524188*85=\frac{x}{85}*85$  

$75.73555455598=x$

$x\approx 75.7$

Therefore, the value of x is 75.7 to the nearest tenth.