Triangles

2010015301

Level: 
B
An artillery battery is placed on a cliff. From the edge of the cliff \( 200\,\mathrm{m} \) high, the angle of depression to the ship on the sea is \( 10^{\circ} \). What is the distance \( d \) (See the picture.) from the cliff to the ship? Round the result to two decimal places.
\( 1134.26\,\mathrm{m} \)
\( 1151.75\,\mathrm{m} \)
\( 35.27\,\mathrm{m} \)
\( 203.09\,\mathrm{m} \)

2010015208

Level: 
A
In the triangle \( ABC \), \( \alpha=80^{\circ} \) and \( \gamma=30^{\circ} \) (see the picture). Determine the measure of the angle between the altitude to the side \( AC \) and the altitude to the side \( AB \).
\( 80^{\circ} \)
\(30^{\circ}\)
\(70^{\circ}\)
\(100^{\circ}\)

2010015204

Level: 
C
What is the height of a computer screen if the ratio of its width and height is \( 16:9 \) and the computer has \( 23 \)-inch monitor? Round the result to two decimal places. (\( 1 \) inch=\( 2.54\,\mathrm{cm} \))
\( 28.64\,\mathrm{cm} \)
\(50.92\,\mathrm{cm} \)
\( 20.05\,\mathrm{cm} \)
\(11.28\,\mathrm{cm} \)