A 5.0m ladder is leaning 3.1m up the wall. What is the angle the ladder makes with the ground?
Would this be.....
sinA=3.1/5.0
sinA=0.62
sin^-1=38degrees?
correct
Yes, the angle the ladder makes with the ground can be determined using the sine function. In this case, you have correctly set up the equation sin(A) = 3.1/5.0, where A is the angle you are trying to find.
To find the angle, you need to take the inverse sine (sin⁻¹) of both sides of the equation. This will give you A = sin⁻¹(3.1/5.0).
Now, you can calculate A using a calculator. When you evaluate sin⁻¹(3.1/5.0), you should get approximately 38.7 degrees. Therefore, the angle the ladder makes with the ground is approximately 38.7 degrees.