Given:
In a right angle triangle triangle, the length of hypotenuse = 47 units.
One of the acute angle = 17°.
Opposite side of the given angle = X
To find:
The value of X. Round to the nearest tenth.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
A right triangle is crated with the help of dotted lines. In this triangle,
[tex]\sin (17^\circ)=\dfrac{X}{47}[/tex]
[tex]0.2923717=\dfrac{X}{47}[/tex]
Multiply both sides by 47.
[tex]0.2923717\times 47=X[/tex]
[tex]13.74147=X[/tex]
[tex]X\approx 13.7[/tex]
Therefore, the approximate value of X is 13.7 units.
