Which trigonometric function is used to find the angle between a line and a plane?

Category: QuestionsWhich trigonometric function is used to find the angle between a line and a plane?
Editor">Editor Staff asked 11 months ago

Which trigonometric function is used to find the angle between a line and a plane?
 
(a) Tangent
 
(b) Cosecant
 
(c) Secant
 
(d) Sine
 
This question was posed to me in an online quiz.
 
I would like to ask this question from Three Dimensional Geometry in chapter Three Dimensional Geometry of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

1 Answers
Editor">Editor Staff answered 11 months ago

The correct option is (d) Sine
 
Explanation: The trigonometric function is used to find the angle between a line and a plane is sine. If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then sin θ=\frac {a1a2.b1b2.c1c2}{\sqrt {a^2+b^2+c^2} \sqrt{a1^2+b1^2+c1^2 }}.