Question

See attachment. what is the length of x in the diagram below?
answer in rational form

Answer 1

Hi there!
Th' following triangle is divided into 2 sub-triangles!

• In 1ˢᵗ triangle :-

tan 45° =
`\frac {b}{p}`

⇒ 1 =
`\frac {5}{p}`

⇒
`p` = 5

• In 2ⁿᵈ triangle :-

cos 30° =
`\frac {p}{h}`

⇒
`\frac {1}{2}` =
`\frac {5}{x}`

⇒
`x` = 2 × 5

⇒
`x` = 10

Hence,
Th required answer is 10 units.

~ Hope it helps!