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

75.7 meters.

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))=(x)/(85)`

`0.891006524188=(x)/(85)`

`0.891006524188*85=(x)/(85)*85`

`75.73555455598=x`

`x\approx 75.7`

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