New Maths 9-1 GCSE Sample Question HELP NEEDED!

So I was revising for my End Of Year exam which will be a mock of the REAL new GCSE and this question came up.
Anyone know , step by step, how to solve this?

Thanks

(edited 7 years ago)

Reply 1

fatima1998

Original post by NothingButWaleed

So I was revising for my End Of Year exam which will be a mock of the REAL new GCSE and this question came up.
Anyone know , step by step, how to solve this?

can't see the question :redface:

Reply 2

NothingButWaleed

Original post by fatima1998

can't see the question :redface:

Its there now!

Reply 3

Rabadon

Draw line from A to C and one from A horizontally across to the line DC. You then get a right angled triangle and use the angle along with the ratio to get sides etc.

Reply 4

Chittesh14

Work out the other side using the ratio.
Draw the angle of elevation and then draw a right angled triangle connecting the two lines together. You will realise the angle of elevation is the same as one of the angles - corresponding angles ? :smile:

Use SOH CAH to then work it out.
Well, in all honesty you can only use tan or TOA haha :smile:

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Reply 5

NothingButWaleed

Original post by Chittesh14

Use SOH CAH to then work it out.
Well, in all honesty you can only use tan or TOA haha :smile:

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I just tried it but no luck. I do something wrong but I dont know what, can you do the working out and show me?

Reply 6

iamzr

CD = 1.5 x 1.7 = 2.55

Let E be the point where a perpendicular line to AB, at A intersects CD

CE = CD - AB = 2.55 - 1.7 = 0.85

To work out EA use trig:

Tan(angle) = opp/adj
Tan(52) = (0.85)/EA
EA = (0.85)/tan(52)
EA = 0.6640927... = 0.664 (to 3sf)

EA = BD
Therefore BD = 0.664 (to 3sf)

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