A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8m. Find the height of the tree.
The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. Find the height of the tower.
A kite is flying at a height of 60m from the level surface attached to a string inclined at 30° to the horizontal. Then the length of the string in metres is :
The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes ? (use ∏=3.14)
If the arcs of the same lengths in two circles subtend angles 65° and 110° at the centre, find the ratio of their radii.
A wheel makes 360 revolutions in 1 minute. Through how many radians ddoes it turn in one second .
Find the radius of the circle in which a centrall angle of 60° intercepts an arc of length 37.4 cm (use ∏=22/7)
Convert 6 radian into degree measure.
sin A = 1/2 and cos B = 1/2 , then the value of (A+B) is
Given that 4tanA = 3 , then the value of4sinA+cosA4sinA−cosA is
In triangle ABC ,
The value of 1+tan2602tan60=
If cos 9a = sin ɑ and 9ɑ < 90° , then the value of tan 5ɑ is
If sin A + sin²A = 1, then the value of the expression (cos² A + cos⁴A) =
if cos(ɑ + β) = 0 , then sin (ɑ - β) can be reduced to
The length of the shadow of a pole is √3 times its height. The elevation of the sum must be
Two chimneys 18m and 13m high stand upright in the ground. If their feet are 12m apart, then the distance between their tops is
sin50 - sin70 + sin10 =
sin 1050° = ?
The value of tan(–405°) is :
A. 1
B. –1
C. ∞
D. 0
What is the Value of cos40∘sec40∘cos(50∘+A)−sin(40∘−A)
Evaluate cos36∘sin54∘+cosec44∘sec46∘
If tan 2A = cot (46° - A), then what is the value of A?
What is the value of
sec30∘+tan30∘tan30∘+cot30∘×sin30∘
(tan57° + cot37°)/ (tan33° + cot53° ) =?
2sec²A+ 4cosec²A - 2tan²A - 4cot²A find solution
A shadow of a tower standing on a level ground is found to be 40√3 meters longer when the Sun's altitude is 30° than when
it is 60°. The height of the tower is:
If sec 44 cosec (3A-50°), where 44 and 34 are acute angles, find the value of A + 75.
Two angles are complementary. The larger angle is 6º less than thrice the measure of the smaller angle. What is the measure of the larger angle?
The value of 4cos243∘−5+4cos247∘sin252∘+2+sin238∘
Find the value of Sec (-30o)+tan(-60o)
If cot A = tan(2A - 45°), A is an acute angle then tan A is equal to:
If tanθ + cotθ = 2 and θ is acute, then the value of tan100θ +cot100θ is equal to:
(tan57° + cot37°)/ (tan33° + cot53° ) =?
If tanθ=43 and θ is acute, then what is the value of sin θ