# Hole's angles

I am trying to find an angle. The top of the hole is .625” and the bottom of the hole is .532”. The hole depth is .250” what is the angle of the hole (and what is the formula)?

Result

A =  79.463 °

#### Solution:

$a = 0.625 \ \\ c = 0.532 \ \\ h = 0.250 \ \\ \ \\ x = (a-c)/2 = (0.625-0.532)/2 = \dfrac{ 93 }{ 2000 } = 0.0465 \ \\ \ \\ \tan A = h:x \ \\ A_{ 1 } = \arctan(h/x) = \arctan(0.25/0.0465) \doteq 1.3869 \ \\ A = A_{ 1 } \rightarrow \ ^\circ = A_{ 1 } \cdot \ \dfrac{ 180 }{ \pi } \ \ ^\circ = 79.4633920571 \ \ ^\circ = 79.463 ^\circ = 79^\circ 27'48"$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

## Next similar math problems:

1. Angles of elevation
From points A and B on level ground, the angles of elevation of the top of a building are 25° and 37° respectively. If |AB| = 57m, calculate, to the nearest meter, the distances of the top of the building from A and B if they are both on the same side of t
2. Angles
In the triangle ABC, the ratio of angles is: a:b = 4: 5. The angle c is 36°. How big are the angles a, b?
3. Triangle P2
Can triangle have two right angles?
4. A kite
ABCD is a kite. Angle OBC = 20° and angle OCD = 35°. O is the intersection of diagonals. Find angle ABC, angle ADC and angle BAD.
5. Trapezoid - RR
Find the area of the right angled trapezoid ABCD with the right angle at the A vertex; a = 3 dm b = 5 dm c = 6 dm d = 4 dm
6. Ditch
Ditch profile is an isosceles trapezoid with bases of length 80m and 60m. The slope of the side wall of the ditch is 80°. Calculate the ditch depth.
On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane?
8. If the
If the tangent of an angle of a right angled triangle is 0.8. Then its longest side is. .. .
9. Church tower
Archdeacon church in Usti nad Labem has diverted tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Result write in degree's minutes.
10. Isosceles trapezium
Trapezoid YSED (YS||ED) is isosceles. The size of the angle at vertex Y is 17 degrees. Calculate the size of the angle at vertex E.