Question

in order for the ladder to reach 10 feet it needs to 75 degree angle to the ground the ground already has a elevation of 15 degrees what degree does the ladder need to be set up

Answer 1

make the senteces shorter and also show work

Answer 2

If the ladder needs to reach a height of 10 feet and the ground already has an elevation of 15 degrees, we can consider this as the angle of elevation between the horizontal ground and the ladder. Let's call this angle A.

To find the degree at which the ladder needs to be set up, we need to calculate the complementary angle to angle A. The complementary angle to an angle is the angle that, when added to it, sums up to 90 degrees (a right angle).

We know that the angle between the ladder and the ground is 75 degrees, so let's call this angle B. Since the sum of angles A and B forms a right angle, we have:

A + B = 90 degrees

We can rearrange the equation to express A in terms of B:

A = 90 - B

Now, let's substitute the known value for B:

A = 90 - 75
A = 15 degrees

Therefore, the ladder needs to be set up at a 15-degree angle in order to reach a height of 10 feet on the ground with a pre-existing elevation of 15 degrees.

Answer 3

To reach a height of 10 feet with a ladder at a 75-degree angle, considering the ground elevation of 15 degrees, the ladder needs to be set up at a 15-degree angle.

Work:
Angle of elevation from the ground to the ladder: 75 degrees
Ground elevation: 15 degrees

The complementary angle to the angle of elevation is needed to determine the ladder setup angle:
Complementary Angle = 90 degrees - Angle of Elevation
Complementary Angle = 90 - 75 = 15 degrees

Therefore, the ladder needs to be set up at a 15-degree angle.