Use the figure to find x.

Step-by-step explanation:

Here two triangles are given to us , which are attached to each other . Here we can use the concept of Trigonometry to find out the value of x. The angles of the triangle are 60° and 45° . Let the common side be p .

Step 1: Use the ratio of tan in upper triangle

Substitute the respective values ,

Cross multiply ,

Step 2: Use the ratio of cos in lower triangle

Substitute the respective values ,

Cross multiply ,

Put the approximate values of √2 and √3

This equals to ,

Hence the value of x is 8.57 .

The value of x is

Solution given:

AB=7

BD=x

<BAC=60°

<DBC=45°

In right angled triangle ABC

Tan 60°=opposite/adjacent

Tan 60°=BC/AB

Substitute value

=

BC=

again

againIn right angled triangle BCD

againIn right angled triangle BCDUsing Cos angle

Cos 45=adjacent/hypotenuse

Cos45°=BD/BC

Substituting value

Doing criss cross multiplication

x=