According to this diagram, what is tan 74?

According to this diagram, what is tan 74? class=

Verified Answer :

Answer:

The value of tan(74°) is \(\frac{24}{7}\).

Step-by-step explanation:

In a right angled triangle

\(\tan\theta=\frac{perpendicular}{base}\)

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.

\(perpendicular=24\)

\(base=7\)

\(\tan(74^{\circ})=\frac{24}{7}\)

Therefore the value of tan(74°) is \(\frac{24}{7}\).

Answer:

Step-by-step explanation:

Alright, lets get started.

Using SOH CAH TOA,

\(tan 74 = \frac{opposite}{adjacent}\)

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

\(tan 74 = \frac{24}{7}\)

Hence

\(tan 74 = 3.428\)

So, the answer is 3.428   :   Answer

Hope it will help :)

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