Question

In a right triangle, the side adjacent angle a is 12, the

hypotenuse is 24. what is the tangent of the angle a?

Answer 1

`tan(a)=(opposite)/(adjacent)`

Explanation:

In a right triangle, the side adjacent angle a is 12, the

hypotenuse is 24.

Angle 'a' is 12

hypotenuse is 24

`sin(a)=(opposite)/(hypotenuse)`

`sin(12)=(opposite)/(24)`

opposite side = 24 times sin(12)=5

`cos(a)=(adjacent)/(hypotenuse)`

`cos(12)=(adjacent)/(24)`

adjacent side = 24 times cos(12)=23.5

`tan(a)=(opposite)/(adjacent)`

`tan(a)=(5)/(23.5)`