Question

In right triangle ABC, ZC is a right angle, m ZA = 52, AC = 10.01, and AB = c.

Answer 1

Answer:

The measurement of AB is 16.25 units.

Step-by-step explanation:

In right triangle ABC, ∠C is a right angle, m∠A = 52° , AC = 10.01, and AB = c.

We need to find the measurement of AB.

∠C is a right angle, it means AB is hypotenuse.

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

$\cos A=\dfrac{AC}{AB}$

$\cos (52^\circ)=\dfrac{10.01}{c}$

$0.616=\dfrac{10.01}{c}$

$c=\dfrac{10.01}{0.616}$

$c=16.25$

Hence, the measurement of AB is 16.25 units.