Goniometry and trigonometry - practice problems - page 6 of 32
Number of problems found: 629
- Aircraft altitude calculation
Radar sees an aircraft at an altitude angle of 15°24', and the direct distance from the radar is 5545 m. At what altitude does the aircraft fly? - Ladder height calculation
The 8-meter-long ladder is attached to the wall at an angle of 22 °. How high does it reach? - Cable car altitude
How big a difference in altitude will the cable car overcome when it rises 1200 m at a 70-degree angle? - Wall and ladder
A ladder is leaning against a wall at a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - Triangle 75
Triangle ABC has angle C bisected and intersected AB at D. Angle A measures 20 degrees, and angle B measures 40 degrees. The question is to determine AB-AC if length AD=1. - The airplane
The airplane sights a runway at an angle of depression of 23°. It is flying at an altitude of 3 kilometers above the ground. What is the horizontal distance of the airplane from the airport? - 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? - An isosceles trapezoid
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area. - The right triangle
In the right triangle ABC with a right angle at C, we know the side lengths AC = 9 cm and BC = 7 cm. Calculate the length of the remaining side of the triangle and the size of all angles. - Isosceles triangle
Calculate the size of the interior angles and the length of the base of the isosceles triangle if the arm's length is 17 cm and the height of the base is 12 cm. - 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? - ABCD
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD - Parallelogram
We know about parallelogram ABCD: length |AB| = 76cm, |BC| = 44cm, and angle ∢BAD = 30°. Find the area of the parallelogram. - Cosine
The point (3, 4) is on the terminal side of angle θ. cos θ = ... - Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm. - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it? - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Cable car
The cable car rises at an angle of 44° and connects the upper and lower station with an altitude difference of 1089 m. How long is an "endless" tow rope? - Triangle angle sides
In the right triangle ABC, calculate the magnitude of the interior angles if / AB / = 13 cm; / BC / = 12 cm and / AC / = 5 cm.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
