Advertisements
Advertisements
प्रश्न
In a shopping mall there is a hall of cuboid shape with dimension 800 × 800 × 720 units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure. Find the slopes of the escalator at the turning points
उत्तर
Give the dimension of the cube = 800 × 800 × 720
The slopes of the escalator at the turning points.
In the right angle ∆OAE
OE = 800
EA = 180
Let ∠AOE = θ
The slope of the escalator OE 180
tan θ = `"EA"/"OE"`
= `180/800`
= `9/40`
∴ Slope at each turning points is `9/40`
APPEARS IN
संबंधित प्रश्न
Find the slope of the following line which passes through the points:
G(7, 1), H(−3, 1)
Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured anticlockwise
If points A(h, 0), B(0, k) and C(a, b) lie on a line then show that `"a"/"h" + "b"/"k"` = 1
Answer the following question:
Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear
Answer the following question:
Line through A(h, 3) and B(4, 1) intersect the line 7x − 9y − 19 = 0 at right angle Find the value of h
Find the equation of the lines passing through the point (1, 1) with y-intercept (– 4)
Find the equation of the lines passing through the point (1,1) with slope 3
Find the equation of the line passing through the point (1, 5) and also divides the co-ordinate axes in the ratio 3:10
Find the equation of the line, if the perpendicular drawn from the origin makes an angle 30° with x-axis and its length is 12
Show that the points (1, 3), (2, 1) and `(1/2, 4)` are collinear, by using concept of slope
A straight line is passing through the point A(1, 2) with slope `5/12`. Find points on the line which are 13 units away from A
A 150 m long train is moving with constant velocity of 12.5 m/s. Find time taken to cross the bridge of length 850 m
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
Weight (kg) | 2 | 4 | 5 | 8 |
Length (cm) | 3 | 4 | 4.5 | 6 |
Find the equation relating the length of the spring to the weight on it
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
Weight (kg) | 2 | 4 | 5 | 8 |
Length (cm) | 3 | 4 | 4.5 | 6 |
What is the actual length of the spring
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
Weight (kg) | 2 | 4 | 5 | 8 |
Length (cm) | 3 | 4 | 4.5 | 6 |
If the spring has to stretch to 9 cm long, how much weight should be added?
A family is using Liquefied petroleum gas (LPG) of weight 14.2 kg for consumption. (Full weight 29.5kg includes the empty cylinders tare weight of 15.3kg.). If it is used with constant rate then it lasts for 24 days. Then the new cylinder is replaced. Find the equation relating the quantity of gas in the cylinder to the days
In a shopping mall there is a hall of cuboid shape with dimension 800 × 800 × 720 units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure. Find the heights at which the escalator changes its direction
The number of possible tangents which can be drawn to the curve 4x2 – 9y2 = 36, which are perpendicular to the straight line 5x + 2y – 10 = 0 is ______.
The equation of the line passing through the point (–3, 1) and bisecting the angle between co-ordinate axes is ______.
Find the transformed equation of the straight line 2x – 3y + 5 = 0, when the origin is shifted to the point (3, –1) after translation of axes.