The angle of elevation at the top of a building is 34 degrees. at a point 80 feet closer , the angle of elevation to the top of the same building is 45 degrees. approximate the height of the building.

According to the diagram, AB is the building.

Let distance BC= x CD= 80 ft

So distance BD= x + 80

In triangle ABD,

anlge ACB = 45 degree

So Triangle ACB is an isosceles triangle.

So AB = BC = x

Consider triangle ABD,

tan (34) =

0.6745 =

Cross multiply

0.6745 (x + 80 ) = x

0.6745 x + 53.46 = x

53.46 = x - 0.6745x

53.46 = 0.3255 x

Now divide both side by 0.3255

x = 164.24 ft

So height of the building is 164 ft approximately

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

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m