For the given triangle, CE = 8.0 units, CD = 4.0 units and m∠E = 27°.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is 63°. It is given that the opposite side is CE and the adjacent side is CD. The hypotenuse of the triangle measures 9 units.
Assume the opposite side measures x units and the adjacent side measures y units.
To determine the length of the opposite side of the triangle, we use the sin of the given angle.
To determine the length of the adjacent side of the triangle, we use the cos of the given angle.
Step 2:
In the given triangle,
The length of the opposite side = x units,
The length of the adjacent side = y units,
The length of the hypotenuse = 9 cm,
The angle of the triangle = 63°.
Since it is a triangle, the total angle is 180°.
So 63° + 90° + ∠E = 180°, ∠E = 180° - 153° = 27°.
Rounding the values off, we get CE = 8.0 units, CD = 4.0 units and m∠E = 27°.
P.S. You're not a dummy, no-one knows everything. We're all a work in progress.