Basics of Geometry
Trending Questions
Question 15
A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30∘, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60∘. Find the time taken by the car to reach the foot of the tower from this point.
If , then is equal to
If , then the value of is
In a right triangle, prove that the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse.
If we consider only the principal values of the inverse trigonometric functions, then the value of .
Is the value of cosA = 54 true for some angle A?
True
False
If and , then is equal to
If x is an acute angle and tan x = 5, find the exact value of the trigonometric function sin x.
3/√26
5/√26
1/√26
5/√27
In , then the value of is
Is the triangle with sides and a right triangle? Give a reason for your answer.
Rohan went for trekking in the Himalayas. At the campsite, he saw the tent in which he would be staying. The slanted sides of the tent were 15 feet long and the base was 24 feet long. If Rohan’s height is 5 feet 12 inches, would he be able to stand erectly anywhere inside the tent?
No
Yes
In △ABC, right angled at C, AC=4cm and ∠BAC=60∘, find the length of side BC
3 cm
4√3 cm
√3 cm
5√3 cm
- 2
- undefined
- 1
- 3
In triangle ABC, right angled at B, if ∠A is increased till it becomes 90∘, what can you say about AC and AB if BC = 1 unit
0, 0
0, 1
1, 1
1 , 0
- R=aSinA=bSinB=cSinC
- R=a2SinA=b2SinB=c2SinC
- R=abSinASinB=bcSinBSinC=caSinCSinA
- R=abcSinASinBSinC
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/13860/content_42.jpg)
- 38∘
- 45∘
- 48∘
- 52∘
In △ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Find the value of sin P.
- 1213
- 1214
- 0.9231
- 0.8571
If x=sin(90∘−a)cot(90∘−a), then x is equal to .................
- tan a
- sin a
- cot a
- cos a
In △ PQR, right angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the value of cos R.
5/13
12/13
15/12
5/12
A triangle has sides with lengths of , , and . Is it a right triangle?
Show that in a right angle traingle , the hypotenuse is the longest side.
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/13860/content_42.jpg)
- 52∘
- 45∘
- 48∘
- 38∘
- Base
- Hypotenuse
- Perpendicualr
- None of these
- c2ab
- a2bc
- b2ac
- c3ab