Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 52 feet from point A and 64 feet from point B. The angle ACB is 52°. How far apart are points A and B? Round to the 10th place.

Step-by-step explanation:1.

Use law of cosine.

AB^2 = AC^2 + BC^2 - 2 * AC * BC * cos(angle ACB)

AB^2 = 53^2 + 71^2 - 2(53)(71)cos(53)

Using calculator,

AB = about 57.6259 feet

2.

Law of cosine again.

d^2 = 400^2 + 90^2 - 2(400)(90)cos(45)

using calculator,

d = about 342.3278 feet

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .