Question

Help a girl out haha

Answer 1

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

$sin^-1(0.8) =a$

using a calculator we get 53.13010235° or just 53°

Step-by-step explanation:

Answer 2

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

$C = \sqrt{a^2 + b^2}$

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

$A = \sqrt{c^2 - b^2}$

Now plug in the numbers and find side AB.

$3 = \sqrt{5^2 - 4^2}$

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.