Question

7. In AABC, 2B = 90°, AB = 14 cm and AC = 50 cm. The value of tan A is :​

Answer 1

Answer:

$\therefore \: tanA = \frac{24}{7}$

Step-by-step explanation:

Consider the above attachment for diagram

$tan \: \theta = \frac{opp}{adj}$

In question they given that:-

$\theta = \angle A$

Hypotenuse AC = 50 cm

Adjacent side AB = 14 cm

Now we want to find opposite side BC using Pythagoras theorem

According Pythagoras theorem,

$(hypotenuse)²= (opposite)² + (adjacent)²$

$AC² = BC² + AB²$

50² = BC² + 14²

2500 - 196 = BC²

BC² = 2304

BC = √2304 = 48

$tan \: A= \frac{opp}{adj} = \frac{BC }{AB}$

$tanA = \frac{48}{14} = \frac{24}{7}$

$\therefore \: tanA = \frac{24}{7}$

Answer 2

Answer:

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