Height and Distance Quizzes Post published:March 26, 2020 Post category:Aptitude Quizzes Post comments:0 Comments 0% 0 votes, 0 avg 1 See time here Aptitude Quizzes Height and Distance Quiz 1Total Questions: 10Time: 10 minutes 1 / 10 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 26 m 24 m 30 m 2 / 10 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? 27.3 m 17.3 m 37.3 m 20.3 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)3 / 10 Category: Height and Distance QuestionsThe angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is: 14.8 m 12.4 m 24.8 m 6.2 m 24.8 is correct4 / 10 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 m 8.5 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 m5 / 10 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 16 20 28 24 6 / 10 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: 156 m 200 m 173 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.7 / 10 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? Data inadequate 4 units 8 units 12 units Explanation:One of AB, AD and CD must have given.So, the data is inadequate.8 / 10 Category: Height and Distance QuestionsA ladder is leaning against a wall. It makes a 60° angle with the wall. If the distance between foot of ladder and wall is 5.5 meters, find the length of the ladder. 10m 9.5m 11m 10.5m Answer with explanation:Let BC be the wall and AC be the ladder.∠BAC = 60° and AB = 5.5 meterAC = 2 * AB= 2 * 5.5 = 11 meters (Option D)9 / 10 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 6 m 9 m 8 m 4 m 10 / 10 Category: Height and Distance QuestionsTwo ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships. 161.80 m 157.80 m 159. 80 m 155.80 m Answer with explanation:Let AB be the height of lighthouse and C and D be the positions of the ships.AB = 100 meters, ∠ACB = 45°, ∠ADB = 60°AC = AB (100m)AC = 100 mDistance between ships, CD = AC + AD 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 Percentage Quizzes March 26, 2020 Ages Quizzes March 26, 2020 Boat and Stream Quizzes March 26, 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.