You can do 10 or 12 or both
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Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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The triangle height is calculated by Pythagorean Theorem
height^2 = 15^2 - 9^^2
height^2 = 225 - 81
height^2 = 144
height = 12
We can calculate the value of Angle a
cosine (a) = adj / hyp = 9/15 = .6
arc cosine (a) = 53.13 degrees
angle b = 180 -90 -53.13
angle b = 36.87 degrees
tangent b = height / x
tangent 36.87 = 12 / x
x = 12 / .75
x = 16
Yes, it's just that "simple" LOL
height^2 = 15^2 - 9^^2
height^2 = 225 - 81
height^2 = 144
height = 12
We can calculate the value of Angle a
cosine (a) = adj / hyp = 9/15 = .6
arc cosine (a) = 53.13 degrees
angle b = 180 -90 -53.13
angle b = 36.87 degrees
tangent b = height / x
tangent 36.87 = 12 / x
x = 12 / .75
x = 16
Yes, it's just that "simple" LOL