In a right triangle for an acute angle x, find sinx. It is given that tanx = 5.
Answer & explanation
Correct answer: option 2
We are given that :-
tan x = \(\frac{5}{1}\)
{ we know, tan x = \(\frac{P}{B}\) }
By using pythagoras theorem,
P² + B² = H²
5² + 1² = H²
H = \(\sqrt {26 }\)
Now,
sin x
= \(\frac{P}{H}\)
= \(\frac{5}{√26}\)