Comparing a Triangle and a Sector of a Circle Two wood sticks and a metal rod, each of length 1, are connected to form a triangle with angle at the point P, as shown in the first figure below. The rod is then bent to form an arc of a circle with center P, resulting in a smaller angle at the point P, as shown in the second figure. Find , , and .
The value for is 1.047 and is 1.
The value for is 0.47.
Since, first figure is an equilateral triangle therefore each angle is i.e.
Radius and sides is 1unit in case of both the figures.
Equilateral triangle has angle equal to
Central angle incase of a sector is given by:
Gateway Arch A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of . The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is .(a) What is the distance between the plane and the arch?(b) What is the distance between a point on the ground directly below the plane and the arch?
94% of StudySmarter users get better grades.Sign up for free