Goniometry and trigonometry - math word problems - page 16 of 32
Number of problems found: 634
- Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals. - Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°. - Triangle sides to angles
The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle. - SAS calculation
Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle α is 47°, find side a. Please round to one decimal. - De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers. - Diagonal
The diagonal of the rectangle has a length of 39.5 cm. The angle between the diagonal and longer side of the rectangle is 43°. Calculate the area of the rectangle. - Medians of isosceles triangle
The isosceles triangle has a base ABC |AB| = 16 cm and a 10 cm long arm. What is the length of the medians? - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area. - n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 14 cm? - Triangle and its heights
Calculate the length of the sides of the triangle ABC if va=13 cm, vb=15 cm and side b are 5 cm shorter than side a. - Pentagon
Calculate the area of a regular pentagon whose diagonal has length u = 18. - Parallelogram diagonal size
Given is the parallelogram KLMN, in which we know the side sizes/KL/ = a = 84.5 cm, /KN/ = 47.8 cm, and the angle size at the vertex K 56°40'. Calculate the size of the diagonals. - A rectangle 5
A rectangle has sides of 10 cm and 14 cm. Calculate the angle between a diagonal and a long side. - N-gon II What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
- Height 2
Calculate the height of an equilateral triangle with side 22. - Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c. - Binibini
Binibini owns a triangular residential lot bounded by two roads intersecting at 70°. The sides of the lot along the road are 62 m and 43 m, respectively. Find the length of the fence needed to enclose the lot. (express answers to the nearest hundredths) - Q-Exam
If tg α = 8.6, Calculating sin α, cos α, cotg α . - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck.
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