Question

According to this diagram, what is tan 74?

Answer 1

Explanation:

Alright, lets get started.

Using SOH CAH TOA,

`tan 74 = (opposite)/(adjacent)`

Putting the value of side opposite as 24 and adjacent as 7

`tan 74 = (24)/(7)`

Hence

`tan 74 = 3.428`

So, the answer is 3.428 : Answer

Hope it will help :)

Answer 2

The value of tan(74°) is
`(24)/(7)`.

Explanation:

In a right angled triangle

`\tan\theta=(perpendicular)/(base)`

The given triangle is a right angle ed triangle because one angle is 90°.

For angle 74° perpendicular is the opposite sides and base is another leg.

`perpendicular=24`

`base=7`

`\tan(74^(\circ))=(24)/(7)`

Therefore the value of tan(74°) is
`(24)/(7)`.