Planimetry - math word problems - page 13 of 72
Number of problems found: 1438
- Piece of a wire
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 24 inches and 21 inches. The angle between these two sides is 55°. What is the length of the third side to the nearest hundredth of an inch? A: The length of the third side is - Angle of elevation 3
The angle of elevation of a pole from a point on the horizontal ground is 15°. After moving 10 m closer to the pole, the angle of elevation becomes 30°. What is the height of the pole? - The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving 20 m closer to the foot of the tower to a point B, the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower from point A - Three 235
Three houses form a triangular shape. House A is 50 feet from house C and house B is 60 feet from house C. The measure is angle ABC is 45 degrees. Draw a picture and find the distance between A and B. - RT with rectangle
In the diagram, find the lengths h and b. One rectangle and one right triangle share one side. We know two angles and the length of the common side, as shown in the picture. - Triangle 97 Triangle DEF with angle Ê = 40°, angle F = 90°, EF = 45 mm. Find the length of DE.
- Cplx sixth power
Let z = 2 - sqrt(3i). Find z6 and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3 - The tent 3
The top of a 1.3 meters tall tent is tethered to the ground by a cable. The cable makes a 37 degrees angle with the ground. Find the cable length. - A triangle 7
A triangle lot has the dimensions a=15 m, b=10 m, and c=20 m. What is the measure of the angle between the sides of b and c? - One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area. - Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - A right
A right triangle has side lengths a=3, b=5, and c=4, as shown below. Use these lengths to find tan x, sin x, and cos x. - Three angles
Find all missing angle values using the Law of Cosines, given all three sides: a = 12, b = 13, and c = 20 - Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15. - Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y. - The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area. - X-triangle
Find the length of the x segment in the given triangle drawings. - Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - Building shadow
When the Sun's altitude is 30° above the horizontal, find the length of the shadow cast by a 50 m high building. - A boy 5
A boy starts at A and walks 3 km east to B. He then walks 4 km north to C. Find the bearing of C from A.
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