Tan=24/10 ≈ 2.4
using Pythagoras theorem
x²=(24)²+(10)²
x²=576+100
x²=57600
x=√57600 => 240
Therefore
sina=24/240 => 0.1
cota=1/tana => 1/(24/10) => 10/24
Based on the data given, the length of line segment AC is 2.29
<h3>What is the length of side AC?</h3>
Based on the given data:
- AC=BC
- AB=3
- line segment CD is perpendicular to line segment AB
- CD= sqrt 3
The triangle ABC is an isosceles triangle.
The line segment AC is the hypotenuse of the the triangle ACD.
The length of AD = 3/2

In conclusion, the length of AC is 2.29
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Answer:
vertex = 
Intercepts for x = 
intercepts for y = (0,-6)