Tangent + similarity of triangles - math problems

Number of problems found: 9

  • Tower's view
    From the church tower's view at the height of 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Calculate the height of the house and its distance from the church.
  • Distance of points
    A regular quadrilateral pyramid ABCDV is given, in which edge AB = a = 4 cm and height v = 8 cm. Let S be the center of the CV. Find the distance of points A and S.
  • An observer
    An observer standing west of the tower sees its top at an altitude angle of 45 degrees. After moving 50 meters to the south, he sees its top at an altitude angle of 30 degrees. How tall is the tower?
  • A boy
    A boy of height 1.7m is standing 30m away from the flagstaff on the same level ground. He observes that the angle of deviation of the top of flagstaff is 30 degrees. Calculate the height of flagstaff.
  • V-belt
    Calculate a length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm (distance between pulley axes)
  • Sun rays
    If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current heig
  • Rhombus
    ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus.
  • Climb
    On the road sign, which informs the climb is 8.7%. The car drive 5 km along this road. What is the height difference that the car went to?
  • Climb
    Road has climbing 1:27. How big is a angle corresponds to this climbing?

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See also our trigonometric triangle calculator. Tangent - math problems. Similarity of triangles - math problems.