# CAT Trigonometry Online Test

If the angles of a triangle are in the ratio 5:4:3, how many degrees are there in the largest angle?
75o
90o
40o
45o
A ladder reaches a window which is 12 m above the ground on one side of the street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 9 m high. Find the width of the street, if the length of the ladder is 15m.
21 m
12 m
9 m
None of these
The distance between the tops of two trees 20m and 28m high is 17m. the horizontal distance between the two trees is:
9m
11m
15m
31m
108
54
100
81
In the following figure, if BC=8 cm, AB=6cm, AC=9cm,then DC is equal to: /
7 cm
7.2 cm
4.8 cm
4.5 cm
The angle of elevation of the sun when the length of the shadow of a pole is  times then the height of the pole is:
30o
45o
60o
75o
The angles of elevation of an artificial satellite measured from two earth stations are 30o and 40o respectively. If the distance between the earth stations is 4000 km, then the height of the satellite is:
2000 km
6000 km
1000 km
2828 km
If sin ?=a and sec ?+ cosec ?=b, then the value of b(a2-1) is equal to:
2a
3a
0
2ab
For an acute angle ?, sin ? + cos ? takes the greater value when ? is:
30o
45o
60o
90o
A tree 6 m tall casts a 4 m long shadow. At the same time, a flag pole casts a shadow 50 m long. How long is the flag pole?
75 m
100 m
150 m
50 m
A 25 m ladder is placed against a vertical wall of a building. The foot of the ladder is 7 m from the base of the building. If the top of the ladder slips 4 m, then the foot of the ladder will slide:
5 m
8 m
9 m
15 m
From the top of the building 60 m, high, the angles of depression of the top and bottom of a tower are observed to be 30o and 60o. find the height of the tower?
35 m
40 m
45 m
30 m
The reduced form of cos6 x + sin6 x + 3 cos2 x sin2 x is equal to:
2
0
Sin3 x + cos3 x2
1
Description:

This Quantitative test for CAT is basically on trigonometry. Obviously this test is useful for MAT preparations also.
Disclaimer: Content, such as images used in the questions (if any), have been picked up from various places for the sole purpose of Instruction.

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can u give me the solution for 7th question

3851 days 1 hours 56 minutes ago

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