find the height of a flag pole if the angle of elevation of its top changes from 30 to 45 degrees as the observer advances 10 ft. towards the base

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find the height of a flag pole if the angle of elevation of its top changes from 30 to 45 degrees as the observer advances 10 ft. towards the base

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Let height be h Then distance from pole=h/tan30 =h√3. (Tan30=1/√3) Again Angle is 45 Than distance =h/tan45 =h. (Tan45=1) Now According to question h√3-h=10. Solve for h now.
Make diagram for more illustration Remember tanx=perpendicular/base So. Length of base=perpendicular/tanx
why did you use \[\sqrt{3}\] ?

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Other answers:

tan30. is what ?
\[\sqrt{3}/3\]
We can write it 1/√3
oh i see thank you :)
As 3=√3×√3 Canceling one √3 we get √3/3=1/√3

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