FTE Maths help please...
Hi all
I hope it's ok posting this sort of question in this forum. There are just 2 q's I am a little unsure of from the FTE test guidance notes, and wondered if someone could assist me in the working out of them.
Q1. In any triangle, using the normal convention for sides and angles:
a2 = b2 + c2 – 2 x b x c x cosA
(note; it is normal, in mathematical equations, to write 2 x b x c x cosA as 2bccosA and this convention will be used in the formulae in the rest of these questions)
The formula would now be written as follows:
a2 = b2 + c2 – 2bccosA
Using this formula, find the value of A in the triangle below.
A
6cm / \ 7cm
/ \
C ----- B
9cm
(cant get the triangle to stay drawn properly. its a scalene triangle, A (top) to B (bottom right) is 7cm, B to C (bottom left) is 9cm and C to A is 6cm)
Q2. The formula tanq = V2/gr relates the radius of turn (r metres) of an aircraft at an angle of bank of qº if it is flying at a speed of V ms-1.
If 1 knot = 0.514 ms-1, find the radius of turn, in metres, of an aircraft at an angle of bank of 45º flying at a speed of 300 knots.
I'd appreciate any help you can offer
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