Question

PLEASE HELP 50 COINS!!!!

Answer 1

Answer:

Therefore,

$AB=16.25\ units$

The Measurement of AB is 16.25 units.

Step-by-step explanation:

In Right Angle Triangle ABC

m∠C=90°

AC = 10.01    .....(Adjacent Side to angle A)

m∠A=52°

cos 52 ≈ 0.616

To Find:

AB = ? (Hypotenuse)

Solution:

In Right Angle Triangle ABC, Cosine Identity,

$\cos A= \dfrac{\textrm{side adjacent to angle A}}{Hypotenuse}$

Substituting the values we get

$\cos 52= \dfrac{AC}{AB}=\dfrac{10.01}{AB}$

But cos 52 ≈ 0.616 ....Given

$AB=\dfrac{10.01}{0.616}=16.25\ units$

Therefore,

$AB=16.25\ units$

The Measurement of AB is 16.25 units.