Find the missing value when given the modulus. |48+bi|=50

Question

asked Nov 11, 2019 218k views

2 Answers

Khatchad · Answer 1 · 2019-11-17T12:05:35+0000

Answer:

missing value b is 14

Explanation:

We have been given the modulus of a complex number which is

r=√(a^2+b^2)

Here on comparing the given complex number with general a+bi we get:

a=48 and b=b

On substituting the values in the formula for modulus we get:

√(48^2+b^2)=50

$\Rightarrow 2304+b^2=50^2$

$\Rightarrow b^2=2500-2304$

$\Rightarrow b^2=196$

$\Rightarrow b=√(196)$

$\Rightarrow b=14$

Therefore, missing value b is 14