Question

Help me !!! Why we have to divide this x=7/tan46 pls help me !!!

Answer 1

Answer:

Therefore, x = 6.76 units

Step-by-step explanation:

Consider a Right angle Triangle Δ ABC at angle C = 90°

AB = Hypotenuse

AC = 7

BC = x

∠ B = 46°

To Find :

x = ?

Solution:

In Right angle Triangle Δ ABC  Tangent Identity is given by

$\tan B = \frac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

Substituting the given values in it we get

$\tan 46 = \frac{AC}{BC}\\ \\\tan 46 =\frac{7}{x} \\\\\therefore x =\frac{7}{\tan 46}\\\\\therefore x = \frac{7}{1.035}\\ \\\therefore x =6.759\\\\\therefore x =6.76\ units$

Therefore, x = 6.76 units