Question

I need help with 7 please it says find the value of x round each answer to the nearest tenth

Answer 1

To find the value of x, we can work the two triangles separately; as follows:

So, according to the figures above:

x = y + z, and we can find y and z using Pythagoras theorem:

$y\text{ = }\sqrt[]{14^2-12^2}=\text{ 2}\sqrt[]{13}$$z\text{ = }\sqrt[]{29^2-12^2}=\text{ }\sqrt[]{697}$

Then:

$x\text{ = 2}\sqrt[]{13\text{ }}+\text{ }\sqrt[]{697}=33.6$