B

2010015307

Level: 
B
The angle of elevation of a straight road is \(9^{\circ }\). The distance between two places measured along the road is \(2\, \mathrm{km}\). For these places, find the difference in altitudes, i.e. the vertical distance, and round the result to the nearest meter. (See the picture.)
\(313\, \mathrm{m}\)
\(1975\, \mathrm{m}\)
\(317\, \mathrm{m}\)
\(78\, \mathrm{m}\)

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.
\( 1134.26\,\mathrm{m} \)
\( 1151.75\,\mathrm{m} \)
\( 35.27\,\mathrm{m} \)
\( 203.09\,\mathrm{m} \)

2010015204

Level: 
B
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=\( 2.54\,\mathrm{cm} \))
\( 28.64\,\mathrm{cm} \)
\(50.92\,\mathrm{cm} \)
\( 20.05\,\mathrm{cm} \)
\(11.28\,\mathrm{cm} \)

2010015203

Level: 
B
In a triangle with interior angles \( 30^{\circ} \), \( 60^{\circ} \) and \( 90^{\circ} \), the shortest side is \( 10\,\mathrm{cm} \) long. Find the length of its longest side.
\( 20\,\mathrm{cm} \)
\( \frac{20}{\sqrt3}\,\mathrm{cm} \)
\( 20\sqrt3\,\mathrm{cm} \)
\(15\,\mathrm{cm} \)

2010015202

Level: 
B
The ladder is leaning against the wall of a house. Its length is \( 5 \) meters. How high does the ladder reach if the angle between it and the wall is \( 45^{\circ} \)? (See the picture.)
\( \frac{5\sqrt2}{2}\,\mathrm{m} \)
\( \frac{5}{2}\,\mathrm{m} \)
\( \frac{5\sqrt3}{2}\,\mathrm{m} \)
\( \frac{10}{\sqrt2}\,\mathrm{m} \)