# Length + angle - math problems

#### Number of problems found: 186

• Right angle In a right triangle ABC with a right angle at the apex C, we know the side length AB = 24 cm and the angle at the vertex B = 71°. Calculate the length of the legs of the triangle.
• Length of the arc What is the length of the arc of a circle k (S, r=68mm), which belongs to a central angle of 78°?
• ABCD AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD
• Circle and angle What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad?
• Arc Circle arc corresponding to angle is 32° is 28 dm long. What is the length of the entire circle?
• Balloon and bridge From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at depth angle 30° 30 '. Calculate the length of the bridge.
• Side c In △ABC a=2, b=4 and ∠C=100°. Calculate length of the side c.
• Arc The length of the circle is 41 amd arc length of the circle 9. What is the magnitude of the angle of this arc?
• Similarity Are two right triangles similar to each other if the first one has an acute angle 70°, and the second one has an acute angle 20°?
• Clouds Approximately at what height is the cloud we see under an angle of 26°10' and see the Sun at an angle of 29°15' and the shade of the cloud is 92 meters away from us?
• 30-60-90 The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
• The mast The top of the pole we see at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?
• The length The length of the circle is 24 cm. What is the length of the circular arc of the corresponding angle 30°?
• Central angle What is the length of the arc of a circle with a diameter of 46 cm, which belongs to a central angle of 30°?
• Mast Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast, if the sun above the horizon is at angle 45°12'.
• Aircraft The plane flies at altitude 6500 m. At the time of first measurement was to see the elevation angle of 21° and second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements.
• Cuboid Determine the dimensions of cuboid a, b, c; if diagonal d=9 dm has angle with edge a α=55° and has angle with edge b β=58°
• Mast shadow Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 15°. Determine the height of the mast, if the sun above the horizon is at angle 33°. Use the law of sines.
• Meridian What is the distance (length) the Earth's meridian 23° when the radius of the Earth is 6370 km?
• Depth angle From a cliff of 150 meters high, we can see the ship at a depth angle of 9° at sea. How far is the ship from the cliff?

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