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.

8121 because

130,000 divided by 16 is 8121

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068