Question

How do I find the length of x to the nearest whole unit from the image?

Answer 1

Given:

There are given that the right angle triangle.

Step-by-step explanation:

To find the length of x, first, we need to redraw the given triangle.Then,

Now,

To find the value of x, we need to find the value of x1 and x2.

So,

First find the value of x2:

Then,

`\begin{gathered} \tan 40^(\circ)=(DC)/(AD) \\ \tan 40^(\circ)=(x2)/(500) \\ 0.84=(x2)/(500) \\ x2=500*0.84 \\ x2=420 \end{gathered}`

Now,

Find the value of x1:

So,

`\begin{gathered} \tan 25^(\circ)=(BD)/(AD) \\ \tan 25^(\circ)=(x1)/(500) \\ 0.466=(x1)/(500) \\ x1=500*0.466 \\ x1=233 \end{gathered}`

Then,

To find the value of x, we need to add both the value of x1 and x2:

Then,

`\begin{gathered} x=x1+x2 \\ x=233+420 \\ x=653 \end{gathered}`

Final answer:

Hence, the value of the length of x is 653.