Answer:
x=1.43
Explanation:
Remember the trigonometry concept.
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Which represents Sin∅ = p/h, Cos∅ = b/h, Tan∅= p/b.
The letters stand for:
h- hypotenuse which is the side opposite to the right angle.
b- base the side which has two angles.
p- perpendicular is the other side which is between the hypotenuse and base.
I will label everything in the triangle for you to understand.
Trigonometry involves finding the unknown side using a known angle and a known side or finding the unknown angle using two known sides.
We need at least one side from the triangle BCD. Both triangles share a common side CB so we can find that side and using that side we can find x.
The CB is perpendicular so we can use trigonometry to build an equation:
Sin 60°= CB/
![\sqrt[7]{3}](https://img.qammunity.org/2024/formulas/mathematics/high-school/rhkt9wmw2px3phus7e701pg5z1xe1kq7rf.png)
Sin 60°= CB
CB= 1.013189805= 1.01
If you see AD is a straight line so the total angle is 180° that means that angle ACB and BCD will equal 180°. That means that angle BCD is 180°-90°=90°
So we can also apply trigonometry to the triangle BCD.
Cos 45°= 1.01/x
x cos45°= 1.01
x= 1.01/cos45°
x= 1.428355698= 1.43
Remember that hypotenuse is the greatest side.