A bird was sitting 6 meters from the base of an oak tree and flew 8 meters to reach the top of the tree. How tall is the tree? If necessary, round to the nearest tenth.

5.3 meters.

Step-by-step explanation:

given data:

height the bird sat at on the tree = 6 meters.

height the bird flew to get to the top of the tree = 8meters.

Solution:

length of the tree =

using pythagoras theorem

adjacent = 6 hypotenuse = 8

opposite =?

Let opposite = x

Using the pythagoras theorem

opp² + adj² = hyp²

x² + 6² = 8²

x² + 36 = 64

x² = 64 – 36

x² = 28

x =√28

x = 5.3 meters

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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