Goniometry and trigonometry - math word problems - page 11 of 30
Number of problems found: 584
- In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point?
- ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand
- Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot?
- Calculate 83356
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment.
- 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 '?
- Two chords
From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords.
- Determine 8202
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane.
- Building 67654
The 15 m high building is 30 m away from the river bank. The river's width can be seen from the roof of this building at an angle of 15 °. How wide is the river?
- Triangle 8027
Side a in the right triangle has size a = 120 mm, angle A = 60°. How big is the hypotenuse c?
- Children playground
The playground has a trapezoid shape, and the parallel sides have a length of 36 m and 21 m. The remaining two sides are 14 m long and 16 m long. Find the size of the inner trapezoid angles.
- Tree
Between points A and B is 50m. From A, we see a tree at an angle of 18°. From point B, we see the tree at a three times bigger angle. How tall is a tree?
- Trapezoid 82216
Given is an isosceles trapezoid ABCD with bases 10 cm and 14 cm. The height of the trapezoid is 6 cm. Determine the interior angles of the trapezoid.
- Trapezoids
In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid.
- Diamond and angles
The internal angles in the diamond are 60° and 120°. Its side is 5 cm long. Find the area of a diamond.
- The pond
We can see the pond at an angle of 65°37'. Its endpoints are 155 m and 177 m away from the observer. What is the width of the pond?
- Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
- Right triangle
It is given a right triangle angle alpha of 90 degrees the beta angle of 55 degrees c = 10 cm use the Pythagorean theorem to calculate sides a and b
- Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π.
- A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each corner of the rhombus if the shorter of the two diagonals measures 7 cm. Give your answers to the nearest degree and give clear geometric reasoning at each stage of your solution.
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