Answer:
We can use inverse sin to solve this
cos=adjacent/hypotenuse while sin=opposite/hypotenuse
therefore, cos(c)=sin(a)
if cos(c)=4/5 then BC=4 and AC =5
sin(a)=4/5
[tex]sin^-1(0.8) =a\\[/tex]
using a calculator we get 53.13010235° or just 53°
Step-by-step explanation:
Answer:
<A is 53.13 degrees
Step-by-step explanation:
First find how long is side AB.
To do that, use the Pythagorean Theorem formula
[tex]C = \sqrt{a^2 + b^2}[/tex]
C is side AC
A is side AB
B is side BC
But we already know side AC and BC.
Side AC is 5
Side BC is 4
But we don't know side AB.
So instead use this formula
[tex]A = \sqrt{c^2 - b^2}[/tex]
Now plug in the numbers and find side AB.
[tex]3 = \sqrt{5^2 - 4^2}[/tex]
You will see that side AB is 3.
Now use cos-1(3.5) to find angle A and put in the calculator.
After putting it in the calculator, cos-1(3/5) equals 53.13 degrees
So the final answer for <A is 53.13 degrees
Hope it helped! My answer is expert verified.
