Goniometry and trigonometry - math word problems - page 17 of 32
Number of problems found: 624
- Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm; BC is 5.4 cm and AC is 4.8 cm. Calculate the height on the AB side and the angle DAB. - 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. - Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Fifth 3871
What is the sum of the fifth root of 243? - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between the adjacent vertices of the flower bed. - Magnitudes 64704
The triangle ABC determines the size of the sides a and b and the magnitudes of the interior angles β and γ, given c = 1.86 m, the line on the side c is 2.12 m, and the angle alpha is 40 ° 12 '. - Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Overhangs 83158
The area of a right triangle ABC is 346 cm2, and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b. - Third roots
Determine the sum of the three complex third roots of the number 64 . - Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6. - Modulus and argument
Find the mod z and argument z if z=i - Segments on the hypotenuse
A right triangle ABC has a hypotenuse of c=26cm. How many segments does the height vc=12 cm cut out on the hypotenuse c? What are the lengths of the sides a and b? What are the angles at the vertices A and B? - 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 a depth angle of 30° 30 '. Calculate the length of the bridge. - Right triangle
Calculate the unknown side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm. - Ground 8370
The arch has a radius of 3.3 m, a span of 3.25 m, and a height of 20 cm above the ground. What is the length of the arc to reach the ground? - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Complex square roots
Determine the sum of the three square roots of 343. - Cosine
Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Height of the arc - formula
Calculate the arc's height if the arc's length is 65 and the chord length is 33. Does there exist a formula to solve this?
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