# Planimetrics - math word problems - page 145 of 147

Study plane measurements, including angles, distances, and areas. In other words - measurement and calculation of shapes in the plane. Perimeter and area of plane shapes.#### Number of problems found: 2937

- Ratio iso triangle

The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures. - Goat

Meadow is a circle with a radius r = 19 m. How long must a rope tie a goat to the pin on the Meadow's perimeter to allow the goat to eat half of the Meadow? - Right

Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 3a +4b = 4.9c - Road

The average climb of the road is given by ratio 1:15. By what angle does road moderate climb? - Gon functions

Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1. - Equilateral triangle

A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side. - Cosine

Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and the hypotenuse 8.544. - Map - climb

On the map of the High Tatras, on a scale of 1:11000, are cable car stations in the Tatranska Lomnica and the Skalnate Pleso with a distance of 354.6 mm. The altitude of these stations is 949 m and 1760 m. What is the average angle of climb on this cable - Determine 6829

Determine the value of the function tg x (tangens) when cotg x = -0.8 (cotangent); x holds in the second quadrant) - Decide 2

Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line - SAS calculation

Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle A is 47°, find side a. Please round to one decimal. - Straight 30241

The straight road has a rise of 19%. How big is the pitch angle? - The body

The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af - Complex roots

Find the sum of the fourth square root of the number 16. - Slope

What is the slope of a line with an inclination 181°? - Determine 18223

From the sine theorem, determine the ratio of the sides of a triangle whose angles are 30 °, 60 °, and 90 °. - Geodesist

Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist. - Road

The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. - Descent of road

The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases. - Observer 64354

At what angle of view does an object 70 m long appear to the observer, 50 m away from one end, and 80 m from the other end?

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