If the H.C.F of 210 and 55 is expressible in the form of 210*5 + 55y , find 'y' ?

y = - 19

Step-by-step explanation:

Express 210 and 55 as products of their prime factors, that is

210 = 2 × 3 × 5 × 7

55 = 5 × 11

Identify the prime factors that both numbers have in common and multiply them.

Here only 5 is common, thus

HCF = 5

Thus

5 = 210 × 5 + 55y, that is

5 = 1050 + 55y ( subtract 1050 from both sides )

- 1045 = 55y ( divide both sides by 55 )

y = - 19

Height of tree= 13.8m

Step-by-step explanation:

When finding the value of a in your working, I suggest to leave the answer to 5 significant figures so that your final answer is more accurate. The value of a should be 26.048m to 5 s.f.

Then multiplying 26.048 with sin 32° would give you 13.8m too when rounded off to 3 significant figures :)

I have attached my working too.