Sydney wants to use a 10-ft ladder to get to a window 8 feet above the ground. At what angle with the ground does the ladder need to be set?

The angle is 53.13 degrees

Step-by-step explanation:

In this question, we are to calculate the angle to which a ladder is to be set to get to a window.

Now, looking at this, we can picture a triangle where the length of the ladder represents the the hypotenuse while the angle we are considering makes the height of the room from the floor.

Please check attachment for picture of triangle

Since we are considering the hypotenuse and the opposite, the mathematical term we would be using is the sine.

Sine of an angle = length of opposite/length of hypotenuse

Sine angle = 8/10

since angle = 8/10

angle = arc sin 0.8

angle = 53.13 degrees

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.