Home
Class 10
MATHS
What is the degree measure, to the neare...

What is the degree measure, to the nearest integer, of angle ABO ?

A

50

B

48

C

45

D

40

Text Solution

Verified by Experts

The correct Answer is:
D
The length of OA is 3, and the length of OB is `sqrt(2^(2)+3^(2))=sqrt(13)`. OA over OB is the tangent of the angle you're looking for :
`tan x = (OA)/(OB)=(3)/(sqrt(13))`
x = arctan `((3)/(sqrt(13)))~~40^(@)`
Promotional Banner

Topper's Solved these Questions

  • PLANE GEOMETRY

    KAPLAN|Exercise PLANE GEOMETRY FOLLOW - UP TEST|6 Videos

  • PRACTICE TEST 2

    KAPLAN|Exercise PRACTICE TEST|50 Videos

Similar Questions

Explore conceptually related problems

What is the perimeter, to the nearest integer, of an equilateral triangle inscribed in circle whose circumference is 6pi units?

In a parallelogram, the ratio of the two adjacent sides is 1 : 2. If the area of the parallelogram is 20 square units and the angle beween the two sides is 45^(@) , what is the area, to the nearest integer, of the rectangle having the sides equal to that of the parallelogram?

What is the degree measure of the smaller of the 2 angles formed by the line and the ray shown in the figure below?

A regular polygon in which every side is of equal length and all interior angles are equal. What is the degree measur of each interior angle in a regular hexagon (six - sided polygon)?

What is the angle measure of 4 radians ?

What is the number of sides of a polygen in which the sum of the degree measure of the interior angles is 4 times the sum of the degree measures of the exterior angles?

The degree measure of (7pi)/6 is

The angles of trinalge are in the ratio 2:3:4 . What is the degree measures of the largest angle?

The diagonal length of a square is 14.1 sq. units. What is the area of the square, rounded to the nearest integer?

In the figure shown above, AB and EF are parallel and measure 4 and 24, respectively. If AB is perpendicular to AE and AE measures 12, what is the perimeter of the figure to the nearest integer?

KAPLAN-PRACTICE TEST 1 -PRACTICE TEST
  1. The horizontal distance, in feet, of a projectile that is fired with a...

    Text Solution

    |

  2. If a right circular cone has a lateral surface area of 6pi and a slant...

    Text Solution

    |

  3. If two fair dice are tossed, what is the probability that the two numb...

    Text Solution

    |

  4. Which of the following is an equation of the ellipse centered at (-2, ...

    Text Solution

    |

  5. If f(x)ge 0 and g(x)ge 0 for all real x, which of the following statem...

    Text Solution

    |

  6. Where defined, (1-sin theta)/(1-cos theta)=

    Text Solution

    |

  7. sum(k=0)^(5)(-1)^(k)2k

    Text Solution

    |

  8. If f(x)=x^(3), which of the following must be true ?

    Text Solution

    |

  9. lim(x to 1)(x^(2)-6x+5)/(x^(2)+3x-4)=

    Text Solution

    |

  10. In Figure shows the graph of f(x), what is the value of f(f(3)) ?

    Text Solution

    |

  11. If all the terms of a geometric sseries are positive, the first term o...

    Text Solution

    |

  12. What is the degree measure, to the nearest integer, of angle ABO ?

    Text Solution

    |

  13. If log(2)(x-16)=log(4)(x-4), which of the following could be the value...

    Text Solution

    |

  14. If a sphere of radius 3 is inscribed in a cube such that it is tangent...

    Text Solution

    |

  15. If f(x)= sin (arctan x), g(x) = tan (arcsin x), and 0 le x lt (pi)/(2)...

    Text Solution

    |

  16. If f(x)=(1)/((x+1)!), what is the smallest integer x such that f(x) lt...

    Text Solution

    |

  17. Point O has coordinates (0, 0), point P lies on the graph of y = 6-x^(...

    Text Solution

    |

  18. If cos 2x = sion x, and x is in radians, radians, which of the followi...

    Text Solution

    |

  19. If a wooden right circular cylinder with radius 2 meters and height 6 ...

    Text Solution

    |

  20. What is the greatest possible number of points of intersection between...

    Text Solution

    |