2 years ago

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]2 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]2 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.

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