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° = $\dfrac {b}{p}$

⇒ 1 = $\dfrac {5}{p}$

⇒ $p$ = 5

• In 2ⁿᵈ triangle :-

cos 30° = $\dfrac {p}{h}$

⇒ $\dfrac {1}{2}$ = $\dfrac {5}{x}$

⇒ $x$ = 2 × 5

⇒ $x$ = 10

Hence,
Th required answer is 10 units.

~ Hope it helps!