7.2 Right triangle trigonometry  (Page 6/12)

$\sin B=\frac{1}{\sqrt{3}},a=2$

$a=5,\measuredangle A=\mathrm{60°}$

$c=12,\measuredangle A=\mathrm{45°}$

$\sin A$

$\cos A$

$\tan A$

$\csc A$

$\sec A$

$\cot A$

$\sin A$

$\cos A$

$\tan A$

$\csc A$

$\sec A$

$\cot A$

$b=15,\measuredangle B=\mathrm{15°}$

$c=200,\measuredangle B=\mathrm{5°}$

$c=50,\measuredangle B=\mathrm{21°}$

$a=30,\measuredangle A=\mathrm{27°}$

$b=3.5,\measuredangle A=\mathrm{78°}$

Find $x.$

Find $x.$

Find $x.$

Find $x.$

A radio tower is located 400 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is $\mathrm{36°},$ and that the angle of depression to the bottom of the tower is $\mathrm{23°}.$ How tall is the tower?

A radio tower is located 325 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is $\mathrm{43°},$ and that the angle of depression to the bottom of the tower is $\mathrm{31°}.$ How tall is the tower?

A 200-foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is $\mathrm{15°},$ and that the angle of depression to the bottom of the monument is $\mathrm{2°}.$ How far is the person from the monument?

A 400-foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is $\mathrm{18°},$ and that the angle of depression to the bottom of the monument is $\mathrm{3°}.$ How far is the person from the monument?

There is an antenna on the top of a building. From a location 300 feet from the base of the building, the angle of elevation to the top of the building is measured to be $\mathrm{40°}.$ From the same location, the angle of elevation to the top of the antenna is measured to be $\mathrm{43°}.$ Find the height of the antenna.

There is lightning rod on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be $\mathrm{36°}.$ From the same location, the angle of elevation to the top of the lightning rod is measured to be $\mathrm{38°}.$ Find the height of the lightning rod.

A 33-ft ladder leans against a building so that the angle between the ground and the ladder is $\mathrm{80°}.$ How high does the ladder reach up the side of the building?

A 23-ft ladder leans against a building so that the angle between the ground and the ladder is $\mathrm{80°}.$ How high does the ladder reach up the side of the building?

The angle of elevation to the top of a building in New York is found to be 9 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building.

The angle of elevation to the top of a building in Seattle is found to be 2 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building.

Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be $\mathrm{60°},$ how far from the base of the tree am I?