Answer:
The length of AB is approximately 6.07 m
Step-by-step explanation:
The given dimensions of the triangle are;
The value of x = 7.7 m
The measure of angle, θ = 52°
The length of side AB = Required
The given triangle ΔABC is a right triangle, with the following sides;
AC = x = The hypotenuse (opposite to right angle) side
(Leg) AB = The opposite side to the reference angle, θ
(Leg) BC = The adjacent side to the reference angle, θ
By trigonometric ratio, we have;
Therefore;
AB = 7.7 × sin(52°) ≈ 6.07
The length of AB ≈ 6.07 m.