Use the Distance Formula to find the distance between the two points in polar coordinates. (Round your answer to one decimal place.) (8, 0.2), (9, 1.7)

Distance= 1

Step-by-step explanation:

Distance be points using polar coordinates

Distance= √(8² +9² -2(8)(9)cos(0.2-1.7)

Distance=√(64 + 81-(144)cos(-1.5))

Distance= √(145-143.9506)

Distance=√ 1.0493

Distance= 1.0243

Distance= 1

Angle of depression from top of the taller building relate to angle of elevation from, top of the shorter building as they are congruent and  alternate interior angles.

The angle of depression is the angle made between the straight line and the line of observer seeing the object, which is below that straight line.

The angle of elevation is the angle made between the straight line and the line of observer seeing the object, which is above that straight line.

The distance between the two office building is equal to the 51 meters and the angle of depression from the top of the taller building to the top of the shorter building is 15 degrees.  

In the image attached below, the triangle shown is the right angle triangle. The tangent of the right angle is the ratio of the opposite side to the base. Therefore,

The height of the taller building is 207 m. Thus, the height of the shorter building is,

Thus, the height of the smaller building is 193 meters.

The angle of elevation is congruent to the angle of depression and both are alternate interior angles.

Thus, angle of depression from the top of the taller building relate to the angle of elevation from the top of the shorter building as they are congruent and  alternate interior angles. The height of the smaller building is 193 meters.

Learn more about the angle of depression here;

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Learn more about the angle of elevation here;

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