ZDAC = ZBAD.
What is the length of AB?
Round to one decimal place.

Line AB = 5.2

Step-by-step explanation: We start with triangle ACD, with two sides given and angle A which shall be the reference angle can be calculated as,

SinA = opposite/hypotenuse

Where the opposite is 4.3 (line facing the reference angle) and the hypotenuse is 5.6 (line facing the right angle)

SinA = 4.3/5.6

SinA = 0.7679

By use of a calculator or a table of values

A = 50.17 degrees.

Having been told that both angles DAC and BAD are equal, then we move to triangle ADB where the reference angle is 50.17 (BAD) and the opposite is 4 (line facing the reference angle) and the unknown side is the hypotenuse (line AB).

Sin 50.17 = opposite/hypotenuse

Sin 50.17 = 4/AB

0.7679 = 4/AB

By cross multiplication we now have

AB = 4/0.7679

AB = 5.2090

Approximately to one decimal place,

AB = 5.2 units

2 x t divided by n

step-by-step explanation:

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