5.4 Right triangle trigonometry  (Page 6/12)

$\cos (\text{34°})=\sin (\text{\_\_°})$

$\cos \left(\frac{\pi }{3}\right)=\sin \text{(\_\_\_)}$

$\csc (\text{21°})=\sec (\text{\_\_\_°})$

$\tan \left(\frac{\pi }{4}\right)=\cot (\text{\_\_})$

$\cos B=\frac{4}{5},a=10$

$\sin B=\frac{1}{2}, a=20$

$\tan A=\frac{5}{12},b=6$

$\tan A=100,b=100$

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

$a=5,\measuredangle A={60}^{\circ }$

$c=12,\measuredangle A={45}^{\circ }$

$\sin A$

$\cos A$

$\tan A$

$\csc A$

$\sec A$

$\cot A$

$\sin A$

$\cos A$

$\tan A$

$\csc A$

$\sec A$

$\cot A$

$b=15,\measuredangle B={15}^{\circ }$

$c=200,\measuredangle B=5^{\circ }$

$c=50,\measuredangle B={21}^{\circ }$

$a=30,\measuredangle A={27}^{\circ }$

$b=3.5,\measuredangle A={78}^{\circ }$

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 tower 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 tower 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?