Find angle A to the nearest degree.?

Question

I need help finding an angle using Sine, Cosine, Tangent.

I have a right angle with the opposite side of 3. Adjacent side of 4 and they want me to find the point angle A. What is the formula I can use?

Answer 1

impossible.
if the opposite side of the right angle is 3, all the other sides will be less than 3. So it can not be 4.

Answer 2

The side opposite the right angle is the hypotenuse and therefore is the longest side of the triangle. Therefore it cannot be 3 since 3<4.

What you probably mean is the legs of the right triangle are 3 and 4 and hence the hypotenuse = 5.
So sin A = 3/5 , cosA = 4/5 and tan A = 3/4
A = arccos 4/5 = arcsin 3/5 = arctan 3/4 = 36.7 degrees

Answer 3

since it is a right angled triangle first find out the hypotenuse
hypotenuse^2 = opposite side^2 + adjacent side ^2
= 9 + 16 = 25
hypotenuse = sqrt(25) = 5
Sin A = opposite side /hypotenuse
3/5
A = sin -1(3/5) = 36.9 degrees
cosA = adjacent side/hypotenuse
= 4/5
Tan A = opposite side/adjacent side
= sin A/cos A = 3/4

Answer 4

SOHCAHTOA

Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent

Answer 5

tan