Planimetrics - math word problems - page 167 of 184
Number of problems found: 3667
- 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? - Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100° - Horizontal 83362
The observer sees the plane at an elevation angle of 35° (angle from the horizontal plane). At that moment, the plane reported an altitude of 4 km. How far from the observer is the place over which the aircraft flies? They circled for hundreds of meters. - The bases
The bases of the isosceles trapezoid ABCD have 10 cm and 6 cm lengths. Its arms form an angle α = 50˚ with a longer base. Calculate the circumference and area of the ABCD trapezoid. - Mirror
The dimensions of the mirror are 750mm x 700mm, the mirror should be tilted 8° from the wall. How many cm must it be tilted from the wall? - Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides. - Rectangle
Calculate the length of the side HM and diagonal EM of rectangle EHMQ when given: |QM| = 29 cm and angle ∠ EHQ = 36 degrees. - Central angle
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long. - 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. - Cosine
Cosine and sine theorem: Calculate all unknown values (side lengths or angles) from triangle ABC. c = 2.9 cm; β = 28°; γ = 14° α =? °; a =? cm; b =? cm - Diagonal BD
Find the length of the diagonal BD in a rectangular trapezoid ABCD with a right angle at vertex A when/AD / = 8,1 cm and the angle DBA is 42° - Parallelogram
Find the parallelogram's perimeter, where base a = 8 cm, height v = 3 cm, and angle alpha = 35° is the magnitude of the angle at vertex A. - TV tower
Calculate the height of the television tower if an observer standing 430 m from the base of the tower sees the peak at an altitude angle of 23°. - The ladder and wall
A 6.5-meter-long ladder rests against a vertical wall. Its lower end rests on the ground 1.6 meters from the wall. Determine how high the top of the ladder reaches and at what angle it rests against the wall. - Distance 19043
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? - ABCD
AC= 40cm , angle DAB=38 , angle DCB=58 , angle DBC=90 , DB is perpendicular on AC , find BD and AD - Calculate 5121
Calculate the height of the tree - data - from a distance of 41m at an angle of 15 degrees. I will see it in its entirety. - SAS triangle
The triangle has two sides, long 7 and 19, and includes angle 47°24'. Calculate the area of this triangle. - View angle
From a tower 20 m high and 20 m away from the river, the width of the river appears to be at an angle of 15°. How wide is the river at this location? - 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?
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