The value of 
.
We know that,
➪ 125° + + 30° = 180°
➪ + 155° = 180°
➪ = 180° - 155°
➪ = 25°
Therefore, the value of is 25°.
Now, the three angles of the triangle are 125°, 25° and 30°.
✒ 125° + 25° + 30° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5
0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
Answer:
1. 
2. 3.2362
3. 
Step-by-step explanation:
1.
Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>
By pythagorean theorem, we have the "hypotenuse" as 
Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc 
= </em>
<em />
<em>First answer choice is right.</em>
<em />
2.
By definition, Csc is the inverse of Sine . <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>
Third answer choice is right.
3.
By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:
Third answer is right.
Explanation. The given triangle is an equilateral triangle. Hence, all angles are equal to 60°. x = 180° – 60° = 120°.
