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Use this diagram to answer the questions 6 and 7.

6. (3 marks) In the above diagram, what is the length of AD to the nearest tenth? Step 1: find the length of AC in the bottom triangle

Step 2: find the length of AD in the top triangle.

a. 4.2

b. 5.0

c. 5.7

d. 6.4

7. (2 marks) In the above diagram, what is the measure of angle y to the nearest degree?

a. 28°

b. 45°

c. 53°

d. 62°

Use this diagram to answer the questions 6 and 7 6 3 marks In the above diagram what is the length of AD to the nearest tenth Step 1 find the length of AC in th class=


Answer :

olumideolawoyin

Answer:

d. 6.4

y = 62°

Step-by-step explanation:

Using Trigonometric ratio,

sin45° = 4/ AC

AC = 4/sin45° = 4 ÷ 1/√2

AC = 4√2

Using Pythagoras' Theorem,

AD^2 = AC^2 + CD^2

AD^2 = (4√2)^2 + 3^2

= 16×2 + 9

= 32 + 9

= 41

Take square roots of both sides

AD = √41 = 6.4

cos y = 3/√41 = 0.4685

y = arccos(0.4685)

y = 62.06°

y = 62°