Question

For this triangle what is cos 0 ?
a. 0.60
b. 0.75
c. 0.80
d. 1.25

Answer 1

a.
Since the hyoptenuse is 15 and the opposite is 12, thus the adjacent is 9 as solved by the Pythagoras theorem. Thus, as the cosine rule dictates, adjacent over hyoptenuse, 15 shall be divided by 9 which gets you the answer 0.60

Answer 2

`cos\theta=0.6`

Step-by-step explanation:

In the given triangle, perpendicular distance is 12 units and the hypotenuse of the triangle is 15 units. Let b is the base of the triangle. It can be calculated using the Pythagoras theorem as :

`H^2=P^2+B^2`

`B=√(H^2-P^2)`

`B=√(15^2-12^2)`

B = 9 units

Now we need to find the value of
`cos\theta`. Using trigonometric identities as :

`cos\theta=(B)/(H)`

`cos\theta=(9)/(15)`

`cos\theta=0.6`

So, the value of
`cos\theta` is 0.6. Hence, this is the required solution.