Question

Given: Right △ABC with m∠C=90∘ and m∠A=60∘; AC=45
Find: AB

Answer 1

Step-by-step explanation:

after drawing the figure..

in triangle ABC

sin(30) = AC/AB

1/2 = 45/AB

this implies AB is 90..

hope this will help you..

Answer 2

The length of AB is 90.

Step-by-step explanation:

Given,

ABC is a right angle triangle with right angled at C.

m∠A=60° and AC=45

We have to find the length of AB.

Since the triangle is right angled and one angle is also given, so we use the trigonometric ratios to find the length of AB.

$Cos\theta=\frac{adjacent\ side}{hypotenuse}$

Here, θ = 60°

adjacent side = AC = 45

hypotenuse = AB

Now putting the values, we get;

$Cos60\°=\frac{45}{AB}\\\\\frac{1}{2} =\frac{45}{AB}$

By using cross multiplication method, we get;

$AB=2\times45=90$

Hence The length of AB is 90.