175k views
4 votes
Work out the value of x.

A
X
52°
11.5 cm
5.5 cm
Give your answer correct to 1 decimal place.

Work out the value of x. A X 52° 11.5 cm 5.5 cm Give your answer correct to 1 decimal-example-1
User Fhossfel
by
8.5k points

1 Answer

7 votes

Answer: x= 12.8717 cm

Step-by-step explanation:

<BAC + <ACB = 90

52 + <ACB = 90

<ACB = 38

BC^2 +BD^2 = CD^2

BC^ + 5.5^2 = 11.5^2

BC = 10.1

cos ( <ACB ) = BC/AC

cos ( 38 ) = 10.1/X

X = 12.817 cm

User Rots
by
7.8k points

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