XYequals=966966 XYZequals=34 degrees 18 prime34°18, YZXequals=96 degrees 36 prim

Question

XYequals=966966

XYZequals=34 degrees 18 prime34°18,

YZXequals=96 degrees 36 prime96°36.

966 m966 m

34 degrees 18 prime34°18

96 degrees 36 prime96°36

The distance between X and Z is

nothing

m.

(Do not round until the final answer. Then round to the nearest meter as needed.)

A flagpole

95.195.1

ft tall is on the top of a building. From a point on level ground, the angle of elevation of the top of the flagpole is

34.934.9degrees°,

while the angle of elevation of the bottom of the flagpole is

25.225.2degrees°.

Find the height of the building.

The building is about

nothing

ft tall.

(Round to the nearest foot as needed.)

To find the distance between a point X and an inaccessible point Z, a line segment XY is constructed. Measurements show that

XYequals=966966

m, angle

XYZequals=34 degrees 18 prime34°18,

and angle

YZXequals=96 degrees 36 prime96°36.

Find the distance between X and Z to the nearest meter. A triangle has a horizontal side, a vertical side, and a side that falls from right to left of length 966 meters. Starting with the lower left vertex and moving clockwise, the vertices are labeled X, Y, and Z. Angle X Y Z is labeled 34 degrees and 18 minutes. Angle Y Z X is labeled 96 degrees and 36 minutes.

966 m966 m

34 degrees 18 prime34°18

96 degrees 36 prime96°36

To find the distance between a point X and an inaccessible point Z, a fine segment XY is constructed. Measurements show that XY = 966 m, angle XYZ = 34 degree 18', and angle YZX = 96 degree 36'. Find the distance between X and Z to the nearest meter. The distance between X and Z is _______ m. (Do not round until the final answer. Then round to the nearest meter as needed.) A flagpole 96.1 ft tall is on the top of a building. From a point on level ground, the angle of the top of the flagpole is 34.9 degree, while the angle of elevation of the bottom of the flagpole is 25.2 degree the height of the building. The building is about _______ ft tall. (Round to the nearest foot as needed.)

Explanation / Answer

34 degree 18'=34.3 degree

96degree 36'=96.6 degree

using sine law

sin 96.6 degree/966=sin36.3/x

x=966sin 36.3/sin 96.6 =576 m

Distance between X and Z is 576 m

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