a) i) Calculate angle CDE. ii) Calculate length of CD.

here's the solution to question 23: a) i) Calculate ∠ CDE Step 1: Identify properties of the tangent. The radius OC is perpendicular to the tangent EC at the point of contact C. Therefore, ∠ OCE = 90°. Step 2: Calculate ∠ OCD. Given ∠ ECD = 45°. ∠ OCD = ∠ OCE − ∠ ECD = 90° − 45° = 45° Step 3: Use properties of isosceles triangle OCD. Since O is the center, OC and OD are radii, so OC = OD. Therefore

a) i) Calculate angle CDE. ii) Calculate length of CD.

here's the solution to question 23: a) i) Calculate ∠ CDE Step 1: Identify properties of the tangent. The radius OC is perpendicular to the tangent EC at the point of contact C. Therefore, ∠ OCE = 90°. Step 2: Calculate ∠ OCD. Given ∠ ECD = 45°. ∠ OCD = ∠ OCE − ∠ ECD = 90° − 45° = 45° Step 3: Use properties of isosceles triangle OCD. Since O is the center, OC and OD are radii, so OC = OD. Therefore

Solved: A) i) Calculate angle CDE. ii) Calculate length of…

Step-by-step solution

3 steps

here's the solution to question 23:

Part a(i)· 3 steps

Calculate $\angle CDE$

Identify properties of the tangent.
The radius OC is perpendicular to the tangent EC at the point of contact C.
Therefore, $\angle OCE = 90^\circ$ .
Calculate $\angle OCD$ .
Given $\angle ECD = 45^\circ$ .
$\angle OCD = \angle OCE - \angle ECD = 90^\circ - 45^\circ = 45^\circ$
Use properties of isosceles triangle $\triangle OCD$ .
Since O is the center, OC and OD are radii, so $OC = OD$ .
Therefore

A) i) Calculate angle CDE. ii) Calculate length of CD.

Step-by-step solution

Part a(i)· 3 steps

Identify properties of the tangent.

Calculate $\angle OCD$ .

Use properties of isosceles triangle $\triangle OCD$ .

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A) i) Calculate angle CDE. ii) Calculate length of CD.

Step-by-step solution

Part a(i)· 3 steps

Identify properties of the tangent.

Calculate ∠OCD\angle OCD∠OCD.

Use properties of isosceles triangle △OCD\triangle OCD△OCD.

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Calculate $\angle OCD$ .

Use properties of isosceles triangle $\triangle OCD$ .