Planimetrics - math word problems - page 168 of 184
Number of problems found: 3667
- In a right-angled 17
In a right-angled triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of the side e? - 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? - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Isosceles triangle
An isosceles triangle with base c and arms a is given by: a = 50.3 cm c = 48.2 cm Determine the interior angles and heights of the base c. - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0 - Trigonometric 50551
Solve the trigonometric equation: cos (x-52°) = 1 - A rhombus
A rhombus has sides of the length of 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus. - Degrees 70334
What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - A rectangle 5
A rectangle has sides of 10 cm and 14 cm. Calculate the angle between a diagonal and a long side. - Sin cos tan
In triangle ABC, right-angled at B. Sides/AB/=7cm, /BC/=5cm, /AC/=8.6cm. Find two decimal places. A. Sine C B. Cosine C C. Tangent C. - Height 2
Calculate the height of the equilateral triangle with side 22. - Difference 4749
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Triangle TBC
TBC is an isosceles triangle with base TB with base angle 75° and legs length |TC| = |BC| = 35. How long is the base TB? - Sun and shadow
The pole is stuck vertically into the ground. The protruding length is 1m. What is the length of the shadow cast when the sun is just 50° above the horizon? - An angle of depression
The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse? - The mast
We see the top of the pole 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? - Right triangle
Calculate the length of the remaining two sides and the angles in the rectangular triangle ABC if a = 10 cm, angle alpha = 18°40'. - Parallelogram
We know about parallelogram ABCD: length |AB| = 76cm, |BC| = 44cm, and angle ∢BAD = 30°. Find the area of the parallelogram. - Hexagon 5
The distance of parallel sides of regular hexagons is 97 cm. Calculate the length of the radius of the circle described in this hexagon. - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ...
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