Question

Please help this is my last question

Answer 1

angle yx = 59deg

for a right angle triangle...

opposite side/adjacent side = tan yx

=> y = 400ft / tan 59 = 240.3ft

Answer 2

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