Solution:
In Right Δ ac b, Right angled at c,
Also, ac=7 units, b c=24 Units, and a b=25 units
Why Right angled at c, because
(ab)²=(ac)²+(b c)²
So,converse of Pythagoras theorem states that if in a triangle square of longest side is equal to sum of other two sides, then the triangle is right angled triangle.
As, ab is longest side that is Hypotenuse and , ac as altitude and c b as base are two shorter sides, so the triangle is right angled at c.
In Right Δ ac b,
[tex]Sin b=\frac{\text{Perpendicular}}{\text{Hypotenuse}}=\frac{7}{25}\\\\ Tan b=\frac{\text{{Perpendicular}}}{\text{base}}=\frac{7}{24}[/tex]
