Question

Find the length x.
y
X
A
D 5√2 E 5√3
5
45°
2.5 B 5 C 10

Answer 1

x = 5√2, y = 5

Explanation:

Given a right angle triangle with angle 45 degrees and adjacent side of 5.

Using trigonometry ratios:

adjacent/hypotenuse = cos(x)

5/x = cos(45)

x = 5/cos(45)

x = 5√2

opposite/adjacent = tan(x)

y/5 = tan(45)

y = 5tan(45)

y = 5