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!

9514 1404 393

  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.

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Additional comment

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

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents