Mathematics: A flagpole that is 28 feet tall casts a 15-foot shadow. At the same time, a nearby tree casts a 21 foot shadow. Find the height of the tree. Round to the nearest tenth.

A flagpole that is 28 feet tall casts a 15-foot shadow.

julie1624

13.02.2022

39.2 feet

Step-by-step explanation:

In case of flagpole:

$tan \theta = \frac {28}{15}..... (1)$

Since, a nearby tree casts a 21 foot shadow at the same time. So the angle formed will be equal.

Let the height of the tree be x feet.

Therefore,

$tan \theta = \frac {x}{21}.....(2)$

From equations (1) & (2)

$\frac {28}{15} = \frac {x}{21}.....(2)\\\\x = \frac{28\times {21} }{{15} }\\\\x = \frac{588}{{15} }\\\\x = 39.2 \\\\$

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klanclos1620

14.05.2020

10. Add the all together to get $910.60

11. Subtract 43 from her account to get $986.93

12. $91.28

13. $4335.06

14. $229.31

15. $9752.44

16. $15162.76

17. $1953.35

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