12 Two towers AB and PQ stand on level ground. The angles of elevation of the top of the taller tower from the top and bottom of the shorter tower are 5° and 20° respectively. The height of the taller tower is 70 metres. a Explain why ZAPJ = 15°. b Show that AB= BP sin 15° sin 95° 70 c Show that BP = sin 20° B d Hence find the height of the shorter tower, correct to the nearest metre. 20°

Calculus: Early Transcendentals
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12 Two towers AB and PO stand on level ground. The angles of clevation of
me top of the faller tower from the top and bottom of the shorter tower are
S- and 20° respectively. The height of the taller tower is 70 metres.
a Explain why ZAPI = 15°.
BP sin 15°
b Show that AB =
sin 95°
c Show that BP =
70
20
sin 20°
d Hence find the height of the shorter tower, correct to the nearest metre.
Transcribed Image Text:12 Two towers AB and PO stand on level ground. The angles of clevation of me top of the faller tower from the top and bottom of the shorter tower are S- and 20° respectively. The height of the taller tower is 70 metres. a Explain why ZAPI = 15°. BP sin 15° b Show that AB = sin 95° c Show that BP = 70 20 sin 20° d Hence find the height of the shorter tower, correct to the nearest metre.
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