Answer :
We need to determine values of b, c, B, and C.From a point on level ground, 248 m from base of tower, with an angle of elevation to the top of the tower of 54.8 degrees, we need to determine height of the tower.
(a) In Figure 250, we have a triangle with sides a, b, and c opposite to angles A, B, and C, respectively. Given a=365 and A=59.1, we can use the Law of Sines to find the values of b, c, B, and C. Since the sum of angles in a triangle is 180 degrees, we can find C by subtracting A and B from 180 degrees. By substituting the known values into the Law of Sines, we can solve for b, c, B, and C.
(b) In the scenario with the tower, we have a right triangle formed by the ground, the tower, and the line of sight to the top of the tower. The angle of elevation to the top of the tower is given as 54.8 degrees, and the distance from the point on the ground to the base of the tower is 248 m. We can use the tangent function to find the height of the tower. By taking the tangent of the angle of elevation and multiplying it by the distance from the point on the ground to the base of the tower, we can calculate the height of the tower.
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