Reason: As shown in the figure, passing through AD⊥BC where point A is point D.
Then AD is the shortest distance from the city to the typhoon center.
In Rt△ABD, because ∠ B = 30, AB=240. ..
∴
AD=
12AB=
12×240= 120
(km)
According to the topic, when it is within the typhoon center (12-4)×25=200 (km), it will be affected by the typhoon.
Because 120 < 200, the city will be affected by the "three pa".
(2) According to the question (1), when point A is less than 200 kilometers away from the typhoon center, it will be affected by the typhoon, so mark AE = AF = 200 on BC. When the typhoon center moves from point E to point F, the city will be within the influence range of the typhoon (as shown in the figure).
From Pythagorean theorem,
DE=
AE2-AD2=
2002- 1202= 160
(km)
So EF=2× 160=320 (km).
It is also known that downtown Sao Paulo is moving at a speed of 20 kilometers per hour.
So the typhoon affects the city for 320÷20= 16 (hours).
(3)∵AD is closest to the typhoon center,
The maximum wind force of this typhoon in this city: 12-( 120÷25)=7.2 (level).
Affected by the typhoon, the maximum wind force in this city is 7.2.