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55.How (a+b)3...

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55.How (a+b)3work

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Q. How do you solve for x in

c o s (- 100) = c o s (55) c o s x + s i n (55) s i n x ?

Q. How many consecutive natural numbers starting from 1, add to 55?

Q. A boy, 1.4 metres tall standing at the edge of a river bank sees the top of a tree on the edge of the other bank at an elevation of 55

^{o}

. Standing back by 3 metres, he sees it at an elevation of 45

^{o}

.
(a) Draw a rough figure showing these facts.
(b) How wide is the river and how tall is the tree?

[sin 55^{o} = 0.8192, cos 55^{o} = 0.5736, tan 55^{o} = 1.4281]

Q. How many multiples of 9 are there lying between 55 and 100?

\frac{155 \times 155 \times 155 - 55 \times 55 \times 55}{155 \times 155 + 155 \times 55 + 55 \times 55}

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