In the Δ ABC shown below, ∠X : ∠Y = 1:2.
What is tan x?
A. 1 /√3
B. 1
C. √3 /2
D. √3
Answers
Given : Right angle Δ ABC , right angled at B
∠X : ∠Y = 1:2.
To Find : Tan x
A. 1 /√3
B. 1
C. √3 /2
D. √3
Solution:
∠X : ∠Y = 1:2
∠X = z
=> ∠Y = 2z
"Sum of angles of a triangle is 180°"
z + 2z + 90° = 180°
=> 3z = 90°
=> z = 30°
∠X = 30°
Tan ∠X = Tan 30° = 1/√3
Correct option is A. 1 /√3
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Answer:
Step-by-step explanation:
let angle x be a
and y be 2a
90+a+2a =180 (angle sum property of triangle)
90 +3a =180
3a=180-90
a =90/3
a =30
tan x =tan 30
1/root 3