ABCD is a trapezium. Find the size of angle CDA, giving your answer to 1 decimal place
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Answered by
39
Given : ABCD is a trapezium. AD || BC , AD = 23 cm BC = 9
AB = 6.5 Height = 6 cm
To Find : size of angle CDA
Solution:
Height = 6 cm => BM = 6 cm M point on AD
Applying Pythagoras theorem
AM² = AB² - BM²
=> AM² = 6.5²- 6²
=> AM = 2.5
CN ⊥ AD
AD = AM + MN + ND
MN = BC = 9 & CN = BM = 6 ( height)
=> 23 = 2.5 + 9 + ND
=> ND = 11.5
Tan ∠CDN = CN/ND
∠CDN = ∠CDA
=> Tan ∠CDA = 6/11.5
=>∠CDA = 27.55
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Answered by
11
Answer:
27.55
Step-by-step explanation:
11.5cm
CDA= 27.6˚
this will give full marks on mathswatch
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