Answer:
The length of longer leg is 16 units
Step-by-step explanation:
Given the longer leg of 30°-60°-90° triangle
we have to find the length of shorter leg.
[tex]\text{Length of longer leg=AB=}16\sqrt3[/tex]
we have to find the length of BC i.e the shorter leg as side opposite to smaller angle is shortest.
By trigonometric ratios
[tex]\tan 60^{\circ}=\frac{AB}{BC}[/tex]
[tex]\sqrt3=\frac{16\sqrt3}{BC}[/tex]
[tex]BC=\frac{16\sqrt3}{\sqrt3}=16units[/tex]
Hence, the length of longer leg is 16 units
