The answer is 0.2867.
1.732
tan-1(0.6009) =31.0016578 degrees
10 x tan(51) = 12.349 (rounded) tan(510) = negative 0.5774 (rounded)
When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.
tan (30 degrees) would be equal to 0.577350269.
1
tan (30 degrees) would be equal to 0.577350269.
Not certain but calculator says 0.577, may have something to do with circle quadrants ie 210 is 30 degrees into third quadrant of circle (tan 30 = 0.577) see google - tan in circle, then scroll to sin, cos, tan
cot(15)=1/tan(15) Let us find tan(15) tan(15)=tan(45-30) tan(a-b) = (tan(a)-tan(b))/(1+tan(a)tan(b)) tan(45-30)= (tan(45)-tan(30))/(1+tan(45)tan(30)) substitute tan(45)=1 and tan(30)=1/√3 into the equation. tan(45-30) = (1- 1/√3) / (1+1/√3) =(√3-1)/(√3+1) The exact value of cot(15) is the reciprocal of the above which is: (√3+1) /(√3-1)
It can be shown that:height = (d tan α tan β)/(tan α - tan β)where: α is the angle closest to the objectβ is the angle further away from the objectd is the distance from the point of angle α to the point of angle βThus: height = (40 ft × tan 50° × tan 30°)/(tan 50° - tan 30°) ≈ 44.80 ft
B: -tan(25)
tangent of 30 degrees = 1/2 of the square root of 3 = roughly 0.5773
1
cot 115 deg = - tan25 deg
Tan 42 degrees = 0.9004
tan(11o) = 0.19438 =======