Answer to Question #158252 in Trigonometry for Girly Acodile Brioso

Question

The L and C State Building is 1, 250 m tall. What is the angle of elevation of 

the top from a point on the ground 1,760 m from the base of the building?

Answer 1

Let our b be the base of the building (adjacent), a to be the height of the building(opposite), and lastly our c to be the elevation of the building ( hypotenuse).

We are asked for the angle of elevation of the top point, which is the angle B.

• As we know SinA=a/b=Opposite/Hypotenuse
• SinA =1250m/1760m
• SinA = 0.7102
• Sin^-1 = 50.28^o
• 50.28^o = Angle of A
• 90.00^o = Angle of C
• As we know angles in a triangle add up to 180^o
• Angle A + Angle B + Angle C = 180^o
• 50.28^o + 90.00^o + X = 180^o
• X = 180 - (50.28^o + 90.00^o)
• X = 39.72^o.
• The angle of elevation of the top from a point on the ground is 39.72^o.