Michelle is three times as old as Fiona. Fiona is twice as old as Madeline. Madeline is seven years old. How old is Michelle?
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Answer:
The value of Tan (a + b) is .
Step-by-step explanation:
Given as :
Tan b =
Sin a =
∵Sin Ф =
So, =
Now, Base² = Hypotenuse² - Perpendicular²
Or, Base² = 13² - 12²
Or, Base² = 169 - 144
Or, Base² = 25
∴ Base = = 5
And Tan Ф =
Or, Tan a =
Now, Tan (a + b) =
Or, Tan (a + b) =
or, Tan (a + b) =
or, Tan (a + b) =
Or, Tan (a + b) =
Hence The value of Tan (a + b) is . Answer