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Maths
GCSE

The angle of elevation to the top of a tree is 63 degrees. Given that the distance to the tree is 15 m and your height is 1.6 m, how tall is the tree?

Drawing a diagram for this would show that the height of the tree above us is given by tan(63)*15, so the total height is this added to 1.6 m. This gives a height of 31 m.

Answered by Lucy V. Maths tutor
2813 Views

Solve the following simultaneous equations. x^2+y^2=25. y-3x=13

The key to solving simultaneous equations is trying to reduce them into one equation. You can see that one of these equations is quadratic, so you should be thinking there will be 2 answers for x and y. Y...

Answered by Ben W. Maths tutor
4430 Views

Solve these two simultaneous equations.

eq.1 4x+3y=7eq.2 3x+7y=16
You want to eliminate one of the variables (either x or y) reducing the problem to just one equation with one variable which can be solved. This can be done by multiplying e...

Answered by Tobias H. Maths tutor
3951 Views

State the nth term of the following sequence: 3, 7, 11, 15, 19

First we look at the jump between each term:7-3=4, 11-7=4, 15-11=4, 19-15=4So we know that the difference in each step is 4. So our expression with look like 4n+d for some number d.Comparing what we have ...

Answered by Huw D. Maths tutor
5294 Views

x^2-9x+20=0

x2-9x+20=0x2-5x-4x+20=0x(x-5)-4(x-5)=0(x-4)(x-5)=0x-4=0x=4x-5=0x=5

Answered by Georgia L. Maths tutor
2873 Views

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