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A guidebook says this tower is 50m tall.Is that correct? given deegrees are 27° and 46°


A guidebook says this tower is 50m tall.Is that correct? given deegrees are 27° and-example-1
User Akash Sharma
by
2.4k points

1 Answer

6 votes
6 votes

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Answer:

yes

Explanation:

The tower is about 50.1 meters tall. The guidebook is correct.

__

The distance from the base of the tower to the angle vertex is ...

d1 = h/tan(46°)

d2 = d1 +50 = h/tan(27°)

Then the height of the tower is ...

h/tan(46°) +50 = h/tan(27°)

50 = h(cot(27°) - cot(46°))

h = 50/(cot(27°) -cot(46°)) ≈ 50/(1.96261 -0.96569) ≈ 50/0.99692

h ≈ 50.1544 . . . meters

The tower is more than 50 meters high.

A guidebook says this tower is 50m tall.Is that correct? given deegrees are 27° and-example-1
User Marcopeg
by
2.7k points