y = 240.3ft. The value of the side y of the right triangle shown in the image is 240.3ft
To solve this problem we have to use trigonometric functions which studies the relationship between the sides and angles of a right triangle and a circumference.
The right triangle shown in the image we will use it to define the sine, cosine and tangent ratios of the angle. by congruence of angles α = 31°
To find side y we can use the definition:
tan (α) = opposite leg/adjacent leg, with α = 31°
tan (31°) = y/400
y = tan (31°)(400) = (400)(0.6009)
y = 240.3442
Round to the nearest tenths y = 240.3
