Question

In the diagram below, a window of a house is 15 feet above the ground. A ladder is placed against the house with its base at an angle of 75° with the ground.

Determine and state how far away from the house the base of the ladder is placed to the nearest foot.
I'm trying to do a Desmos activity, help!

Answer 1

9514 1404 393

Answer:

  4 feet

Step-by-step explanation:

Desmos is useful for finding the answer to this. The problem statement tells you the angle with the x-axis is 75°. If we put the ladder in the first quadrant, the slope will be -tan(75°). We can raise its end to the 15 ft level by making the y-intercept be 15. Then the x-intercept answers the question: 4 ft.

_____

Additional comment

The angle mode needs to be set to Degrees in the Desmos settings for this equation to produce the correct graph.

Answer 2

the answer is 15.5 for this question