Height and Distance Quizzes Post published:March 26, 2020 Post category:Aptitude Quizzes Post comments:0 Comments 0% 0 votes, 0 avg 0 See time here Aptitude Quizzes Height and Distance Quiz 2Total Questions: 15Time: 30 minutes 1 / 15 Category: Height and Distance QuestionsThe angle of elevation of the top of an unfinished building at point P which is 120 m away from its base is 30°. If the angle of elevation of the finished building at the same point would be 60°, find the height of the remaining part of the building. 75 √3 m 70 √3 m 85 √3 m 80 √3 m Answer with explanation:Let the height of remaining part of building be X.then,120 + √3 X = 120*3120 + √3 X = 360√3 X = 360 – 120√3 X = 2402 / 15 Category: Height and Distance QuestionsA telegraph post is bent at a point above the ground. Its top just touches the ground at a distance of 8√3 m from its foot and makes an angle of 30° with the horizontal. The height (in metre) of the post is 20 24 28 16 3 / 15 Category: Height and Distance QuestionsThe angle of elevation of the top of a tower at a point X is 30°. On walking 30 m towards the tower if the angle of elevation becomes 60° at point Y, find the height of the tower? 28 m 24 m 30 m 26 m 4 / 15 Category: Height and Distance QuestionsThe top of a 30 m high wall makes an angle of elevation of 60° with the top of a tower and makes an angle of depression of 45° with the bottom of the tower. Find the distance between tower and wall? 27.5 m 29 m 30 m 28 m Answer with explanation:Let AD is the wall of height 30 m and BE is the tower and X be the distance between tower and wall.X = 30 m (Option D)5 / 15 Category: Height and Distance QuestionsA man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P? 12 units 4 units Data inadequate 8 units Explanation:One of AB, AD and CD must have given.So, the data is inadequate.6 / 15 Category: Height and Distance QuestionsThe angle of elevation of the sun, when the length of the shadow of a tree square root of 3 times the height of the tree, is: 30° 60° 45° 90° Explanation:Let AB be the tree and AC be its shadow.Let ACB = .Then,AC=3 cot = 3AB = 30°.7 / 15 Category: Height and Distance QuestionsThe tops of two poles are connected by a wire. The heights of the poles are 10 m and 14 m respectively. If the wire makes a 30° angle with the horizontal, find the length of the wire? 7 m 8.5 m 8 m 7.5 m Answer with explanation:Let AD and BE, be the poles of height 10 m and 14 m respectively.DE is the wire of length = LDC is parallel to AB so AD = BC = 10 mSo, CE = BE – BC = 14 – 10 = 4 m8 / 15 Category: Height and Distance QuestionsA man sees the top of a tower from a point P. It makes an angle of elevation of 30° with the man’s eyes. If the height of the tower is 100 m, find the distance between man and tower? 150 m 127 m 173 m 110 m 9 / 15 Category: Height and Distance QuestionsThe angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is: 6.9 m 2.3 m 9.2 m 4.6 m Explanation:Let AB be the wall and BC be the ladder.Then, ACB = 60° and AC = 4.6 m.AC= cos 60° =1BC2 BC= 2 x AC= (2 x 4.6) m= 9.2 m.10 / 15 Category: Height and Distance QuestionsFrom a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is: 200 m 173 m 156 m 149 m Explanation:Let AB be the tower.Then, APB = 30° and AB = 100 m.AB= tan 30° =1AP3 AP= (AB x 3) m= 1003 m= (100 x 1.73) m= 173 m.11 / 15 Category: Height and Distance QuestionsA storm breaks a tree. The broken part of tree bends so that the top of the tree touches the ground and makes an angle of 60° with the horizontal plane. If the distance between the base of the tree and the point where top of tree touches the ground is 10 m, find the height of the tree? 20.3 m 17.3 m 27.3 m 37.3 m Answer with explanation:PQ = 10 and let RQ be X.X = 10 √3Now, PR2 = X2 + (10)2PR2 = (10 √3)2 + (10)2= 300 + 100PR2 = 400PR = 20Height of tree = RQ + PR= X + 20= 10 √3 + 20= 10 * 1.73 + 20= 17.3 + 20= 37.3 meter (Option A)12 / 15 Category: Height and Distance QuestionsThe angle of elevation of the sun when the length of the shadow of a pole is equal to the height of the pole is? 90° 45° 60° 30° Answer with explanation:Let ∠BAC = θLet height of pole is h and length of the shadow is L.As per question L = htan θ = 1So, when tan θ is equal to 1 the angle will be 45° (Option A)13 / 15 Category: Height and Distance QuestionsThe angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is 8 m 4 m 9 m 6 m 14 / 15 Category: Height and Distance QuestionsTwo ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is: 300 m 173 m 273 m 200 m Explanation:Let AB be the lighthouse and C and D be the positions of the ships.Then, AB = 100 m, ACB = 30° and ADB = 45°.AB= tan 30° =1 AC = AB x 3 = 1003 m.AC3AB= tan 45° = 1 AD = AB = 100 m.AD CD = (AC + AD)= (1003 + 100) m= 100(3 + 1)= (100 x 2.73) m= 273 m.15 / 15 Category: Height and Distance QuestionsA 25m long ladder is rested on a wall. The foot of the ladder is 7m away from the wall. If the end of the ladder (resting on the wall) slides down 4m, then how far will its foot move away? 6 m 10 m 12 m 8 m NameEmail Your score isThe average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz Exit Satisfied with our quiz?Leave us a review Send feedback Pages: 1 2 3 4 Share on: Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window You Might Also Like Pie Chart Quizzes March 30, 2020 Calender Quizzes March 26, 2020 Table Chart Quizzes March 30, 2020Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.