Question

Work out the value of x.

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

Answer 1

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