Answer:
A
Step-by-step explanation:
Drawing a segment from the left side of the top base to the lower base, creates a right triangle on the left with legs 9 and x₁ and hypotenuse y
Using the tangent ratio in the right triangle and the exact value
tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{x_{1} }[/tex] = 1, so x₁ = 9 and
x = 7 + x₁ = 7 + 9 = 16
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = 9[tex]\sqrt{2}[/tex]
