ECAT Mathematics Chapter 14 Application of Trigonometry Online Test With Answers

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ECAT Mathematics Chapter 14 Application of Trigonometry Online Test

Sr. # Questions Answers Choice
1 The law of sines can be used to solve oblique triangle when following information is given: Two angles and a side Two sides and an angle opposite one of the given sides Two sides and the angle between two sided Option a and b
2 The law of sines can be used to solve Right angle triangle Isosceles triangle oblique triangle haxagon
3 If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to 150𝜊 20' 132𝜊 35' 101𝜊 25' 160𝜊 50'
4 IfΔABC is right, law of cosine reduce to Law of sine Law of tangent Phthogorous theorem Hero's formula
5 In triangle ABC, in which b=95, c=34, a =52𝜊then the value of a= 18 cm 18.027 cm 20.7 cm 19 cm
6 IfΔABC is right, law of cosine reduce to Law of sine Law of tangent Phthogorous theorem Hero's formula
7 The triangle that does not have a right angle is called. Isosceles triangle right angle triangle equivalent triangle oblique triangle
8 The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60οand 30οrespectively. The the ratio of the heghts of the tower is 2 : 1 3 : 1 1 : 2 1 : 3
9 If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is 30<sup>ο</sup> 35<sup>ο</sup> 45<sup>ο</sup> 60<sup>ο</sup>
10 The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is 60𝜊 40𝜊 41𝜊 30𝜊
11 The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45𝜊.The height of the tower is 37m 97m 101m 70m
12 When the angle between the ground and the sun is 30𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is 25m 23m 12m 29m
13 A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string 62m 82m 73m 57m
14 The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is 12<sup>𝜊</sup> 9<sup>𝜊</sup> 7<sup>𝜊</sup> -120<sup>𝜊</sup>
15 The angle of elevation of the top of a tree from a point 17 meters from is foot is 42𝜊The height of the tree is 12m 21m 17m 15m
16 In ladder leaning against a vertical well makes an angle of 24𝜊with the wall, Its foot is 5m from the wall, its length is 5.47m 2m 7m 6.29m
17 A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is 57𝜊 -48𝜊 27𝜊 53𝜊
18 A triangle has six side elements angle tangents
19 The process of finding the unknown elements in triangle is called the solution of the triangle Mean differnece Engineering distance angle of depressin
20 If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is 8, 15, 17 3, 4, 5 12, 15, 18 5, 12, 13
21 If Cosθ=0, thenθ= ______ n<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 (2n + 1)<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 (2n - 1)<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 (4n + 1)<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2
22 Ifθ= 60° then sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>= 1/2 tan<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>= cot 30° <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>=<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/4 sec<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>= 4
23 If you are looking a high point from the ground, then the angle formed is Angle of elevation Angle of depression Right angle Horizon
24 Area ofΔABC= ab sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> 1/2 ab sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> 1/2 ac sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>γ</i></span> 1/2 ac sin<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span>
25 If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is Obtuse Acute Right angle Isosceles
26 120° degrees are equal to how many radians?
27 PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are
28 The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is 116 m 200 m 216 m None of these
29 The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by
30 The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is
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