Solve each of the following problems. 1. To find the distance AB across a river, a distance BC = 354 m is laid off on one side of the river. It is found that B = 112
and C = 15. Find AB. Round to the nearest meters.
2. The diagram shows the relative positions of Earth, Mars, and the Sun on a
particular date. What is the distance between Mars and the Sun on this
date? Round to the nearest million miles.
3. From the rooftop of a building, Nestor observes a tree and a house. The angle of depression of the tree is 40 and
that of the house is 25. If the distance between the tree and the house is 11.25 m, find the distance of Nestor from
the house. Round to the nearest hundredth of a meter.
4. Point A and B are on opposite sides of Yambo Lake. From a third point C, the angle between the lines of sight to A
and B is 46°. If AC is 350 m long and BC is 286 m long, find AB.
5. A weight is supported by cables attached to both ends of a balance beam, as
shown in the figure. What angles are formed between the beam and the cables?
and C = 15. Find AB. Round to the nearest meters.
2. The diagram shows the relative positions of Earth, Mars, and the Sun on a
particular date. What is the distance between Mars and the Sun on this
date? Round to the nearest million miles.
3. From the rooftop of a building, Nestor observes a tree and a house. The angle of depression of the tree is 40 and
that of the house is 25. If the distance between the tree and the house is 11.25 m, find the distance of Nestor from
the house. Round to the nearest hundredth of a meter.
4. Point A and B are on opposite sides of Yambo Lake. From a third point C, the angle between the lines of sight to A
and B is 46°. If AC is 350 m long and BC is 286 m long, find AB.
5. A weight is supported by cables attached to both ends of a balance beam, as
shown in the figure. What angles are formed between the beam and the cables?
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