The easiest route I think here is to check if angles are congruent. basically if they are the same. can you find the missing angles in each. a hint, all angles of a triangle need to add to 180
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Answer:
84.26° in the south west direction.
Step-by-step explanation:
I've attached an image showing the triangle formed by the motion of the plane and the wind.
I've depicted the plane being pushed west and the wind moving south west.
Thus, the direction of motion of the plane will be angle θ.
Using trigonometric ratios;
25/250 = cos θ
cos θ = 0.1
θ = cos^(-1) 0.1
θ = 84.26°
Thus will be in the south west direction.
Answer:
5 meters.
Step-by-step explanation:
Given:
Mr. Dyer is leaning a ladder against the side of his house to repair the roof.
The top of the ladder reaches the roof, which is 3 meters high.
The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.
Question asked:
How long is the ladder?
Solution:
<em>Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.</em>
Base = 4 meters
Height = 3 meters
Length of the ladder = ?
<u>By Pythagoras theorem:
</u>
Square of longest side = Square of base + Square of height
Taking root both side :-
Thus, length of ladder is 5 meters.