Answer:
D. x = 9√3 and y = 18
Step-by-step explanation:
<em>This is an isosceles triangle divided into two equal parts. </em>
<em>Step 1: 18 can be divided into 2 parts which makes the base of both triangles 9.</em>
<em>Step 2: Find the value of x</em>
The value of x can be found through the tan rule.
tan (angle) = opposite/adjacent
tan (60) = x/9
√3 = x/9
x = √3 x 9
x = 9√3
<em>Step 3: Find the value of y </em>
The value of y can be found through the cos rule.
Cos (angle) = adjacent/hypotenuse
Cos (60) = 9/y
1/2 = 9/y
y = 18
Therefore, the correct answer is D; x = 9√3 and y = 18
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