Question

⛔️⚠️‼️GEOMETRY TRIG please help‼️⚠️⛔️

Answer 1

`\huge\boxed{\sf x = 16.3}`

Explanation:

Firstly we've to find the hypotenuse of the first triangle:

In the first triangle, for the angle 45:

Adjacent = 10

Hypotenuse = ?

Using cos for it.

Cos 45 = adjacent / hypotenuse

0.707 = 10 / hyp

hyp = 10 / 0.707

hyp = 14.14

The hypotenuse of the first triangle is actually the base (or opposite) of the triangle.

Also, hypotenuse = x and angle is 60 degrees.

So, we will use the sin ratio.

sin 60 = opposite / hypotenuse

0.866 = 14.14 / x

x = 14.14 / 0.866

x = 16.3

`\rule[225]{225}{2}`

Hope this helped!

~AH1807