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°. BP sin 15° b Show that AB = sin 9.5° 70 c Show that BP = sin 20⁰ B d Hence find the height of the shorter tower, correct to the nearest metre.. 20⁰
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°. BP sin 15° b Show that AB = sin 9.5° 70 c Show that BP = sin 20⁰ B d Hence find the height of the shorter tower, correct to the nearest metre.. 20⁰
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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