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masya89 [10]
3 years ago
6

Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.

Mathematics
2 answers:
zaharov [31]3 years ago
5 0

\\ \sf\longmapsto tan40=\dfrac{P}{430}

\\ \sf\longmapsto 0.83=\dfrac{P}{430}

\\ \sf\longmapsto P=430(0.83)

\\ \sf\longmapsto P\approx361m

  • P=Height of tower

navik [9.2K]3 years ago
4 0

Answer:

\displaystyle 361\:m.

Step-by-step explanation:

You would set your proportion up as so:

\displaystyle \frac{430}{h} = cot\:40° → 430 = hcot\: 40° → \frac{430}{cot\: 40°} = h → 360,8128414... = h \\ \\ 361 ≈ h

So, the height of the clock tower is <em>approximately</em><em> </em>361 metres.

I am joyous to assist you at any time.

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