Triangle practice problems - page 58 of 127
Number of problems found: 2521
- Bearing - navigation
A ship travels 84 km on a bearing of 17° and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point to the nearest kilometer. - Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Wheel gear
A drive wheel of radius two is connected to a drive wheel of radius one by a pulley of length 17. What is the distance between the wheel axles? - Hot air balloon
The center of the balloon is at an altitude of 600 m above the ground (AGL). The observer on earth sees the center of the balloon at an elevation angle of 38°20'. The balloon is seen from the perspective of an angle of 1°16'. Calculate the diameter of the - Joanne
Joanne and Roger are planting a rectangular garden. The garden is 8 1/2 ft by 13 ft. They want to use half of the garden for cucumbers and half for tomatoes. They decide to separate the garden into two right triangles. What is the area of the tomato part - Rectangular field
A rectangular field has a diagonal length of 169 m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Resident distance speed
Two of its inhabitants stand at one point in the land of two-dimensional beings. Suddenly, they both start running at the same moment. Resident A runs north at 5 m/s, and resident B runs east at 12 m/s. Calculate how fast they are moving away from each ot - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Journey
Charles and Eve stand in front of their house. Charles walks south to school at 5.4 km/h, and Eve cycles east to the shop at 21.6 km/h. How far apart are they after 10 minutes? - Scooter distance directions
Kate and John set out on their scooters at the same time. Kate rode at a speed of 4.5 km/30 min, and John rode at a speed of 4 km/20 min. a) How many meters did they travel in 2 minutes if they went in opposite directions? b) How far apart were they when - Rectangle
In rectangle ABCD with sides |AB|=19, |AD|=19, a perpendicular is drawn from point A to diagonal BD, meeting it at point P. Determine the ratio r = (|PB|)/(|DP|). - V-belt
Calculate the length of a belt running on two pulleys with diameters of 105 mm and 393 mm, with a centre-to-centre distance of 697 mm. - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - EQL triangle
Calculate the inradius and circumradius of an equilateral triangle with side a=67 cm. - Motorcyclist and a car
The passenger car left at 7:00 and was heading east at a speed of 60 km/h. A motorcyclist left the same place and headed north at 40 km/h. What will be their air distance at ten o'clock? - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Diagonal 20
The rectangular town plaza's diagonal pathway is 20 m longer than the width. Suppose the pathway is 20 m shorter than twice the width. How long should the pathway be? - Crosswind
A plane is traveling 45 degrees N of E at 320 km/h when it comes across a current from S of E at 115 degrees of 20 km/h. What are the airplane's new course and speed? - Military distance deviation A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the uni
- Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5 cm.
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