1 year ago

Express tan F as a fraction in simplest terms

Mathematics

1 answer:

gladu [14]1 year ago

3 0

Answer:

5/12

Step-by-step explanation:

You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.

<h3>Tangent</h3>

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...

Tangent = Opposite/Adjacent

<h3>Application</h3>

The side opposite angle F is GH = 10.

The side adjacent to angle F is FG = 24.

Then the tangent is ...

tan(F) = GH/FG = 10/24

tan(F) = 5/12 . . . . . reduced to lowest terms

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