Find cosθ using a right-angled triangle where the side opposite to angle θ (perpendicular) is 7 units and the side adjacent to angle θ (base) is 24 units.

In a right-angled triangle, we are given:
Perpendicular (P) =7

Base (B) =24

First, find the hypotenuse (H) using the Pythagorean theorem:

H
2
=P
2
+B
2

H
2
=7
2
+24
2

H
2
=49+576=625
H=
625

​
=25
Now, the formula for cosθ is:

cosθ=
Hypotenuse
Base
​
=
H
B
​

cosθ=
25
24
​