Question

In the given figure, if AB=14cm,then the value of tan B is:
a)4/3 b)14/3 c)5/3 d)13/3​

Answer 1

Answer:

$tan \: b = \frac{4}{3}$

Step-by-step explanation:

KINDLY CHECK THE ATTACHMENT!!

BASICALLY,

EVERYTHING HAS BEEN GIVEN.

JUST USE THE PYTHAGORAS THEORM IN TRIANGLE TO find Ac=ED.

thanks!!

Answer 2

Given: In the given figure, if AB = 14 cm.

To find: The value of tan B.

Solution:

In the triangle ACD, AC is the perpendicular, CD is the base and AD is the hypotenuse. Now, the length of the perpendicular can be calculated using the Pythagoras theorem.

$AC = \sqrt{(13)^{2} - (5)^{2}}$

      $= 12 cm$

Since ACDE forms a rectangle, AC is equal to DE because they are they opposite sides of a rectangle. The length of AE is equal to the length of CD because they are also the opposite sides of the rectangle. Now, the length of BE is calculated as, AB - AE = 14 - 5 = 9cm.

In triangle BDE, DE is 12 cm and BE is 9cm. The tan of angle B can be calculated as follows.

$tan B = \frac{12}{9}$

         $= \frac{4}{3}$

         $= 1.33$

Therefore, the value of tan B is 1.33.