Mathematics
In the given diagram, AB is a vertical tower 100 m away from the foot of a 30 storied building CD. The angles of depression from the point C and E, (E being the mid-point of CD), are 35° and 14° respectively. (Use mathematical table for the required values rounded off correct to two places of decimals only.)
Find the height of the:
(a) tower AB
(b) building CD
Related Questions
Use a graph paper for this question taking 2 cm = 1 unit along both axes.
(a) Plot A(1, 3), B(1, 2) and C(3, 0).
(b) Reflect A and B on the x-axis and name their images as E and D respectively. Write down their coordinates.
(c) Reflect A and B through the origin and name their images as F and G respectively.
(d) Reflect A, B and C on the y-axis and name their images as J, I and H respectively.
(e) Join all the points A, B, C, D, E, F, G, H, I and J in order and name the closed figure so formed.
Use a graph paper for this question. (Take 2 cm = 10 Marks along one axis and 2 cm = 10 students along another axis). Draw a Histogram for the following distribution which gives the marks obtained by 164 students in a particular class and hence find the Mode.
Marks Number of students 30 - 40 10 40 - 50 26 50 - 60 40 60 - 70 54 70 - 80 34 In the given graph, P and Q are points such that PQ cuts off intercepts of 5 units and 3 units along the x-axis and y-axis respectively. Line RS is perpendicular to PQ and passes through the origin. Find the:
(a) coordinates of P and Q
(b) equation of line RS
