Question

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

60.2

Explanation:

86 / 90 = x / 63

cross - multiply

90x = 86 (63)

90x = 5418

x = 60.2

Answer 2

Answer: x = 75.7 cm

Explanation:

In the given picture, we are given a right triangle.

The length of hypotenuse = 85 cm

Angle opposite to x=
`63^(\circ)`

Using trigonometry,

`\sin\theta=\frac{\text{Side opposite to }\theta}{\text{Hypotenuse}}\\\\\Rightarrow\ \sin63^(\circ)=(x)/(85)\\\\\Rightarrow\ x=85*\sin63^(\circ)\\\\\Rightarrow\ x=85*0.89100652418\\\\\Rightarrow\ x=75.7355545553\approx75.7\ cm`

Hence, the value of x = 75.7 cm