If 40 percent of a number is 32, what is 25 percent of that number
1 answer:
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Answer:
Step-by-step explanation:
As Angle 5 and Angle 4 form a linear pair, they are supplementary.
Hence,
Answer:
The correct answer is yes, we can draw an isosceles triangle with only one 80° angle. NO this is not the only possibility.
Step-by-step explanation:
A triangle is a three sided figure. There are three types of triangles: Equilateral, Isosceles and Scalene triangle. The sum of angles in a triangle is 180°.
If all sides have equal length then it is an equilateral triangle. All angles of this triangle are equal.
If two sides are equal then it is an isosceles triangle. Two opposite angles are equal.
If none of the angles and sides are equal then we call it a scalene triangle.
Given one angle of the triangle is 80°.
There exists two possibilities. One, 80° is the equal angle and 80° is not the equal angle.
Required Case : 80° is not the equal angle, i.e. only one 80° angle.
We are to draw an isosceles triangle (say ABC) with one angle say ∠A as 80°.
Other two angles (∠B and ∠C) are 50° each as the other two angles are supposed to be equal. (°).
Now let us consider side AB and AC be of length say a. These two sides are equal.
Thus now we have successfully constructed an isosceles triangle with only one 80° angle.
We can get infinitely many isosceles triangle by just varying the length of the equal side.
Answer:
<em>The height of the building is 21.38 m</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.
It's required to find the height of the building H.
The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:
Multiplying by D+B:
Dividing by tan 22°
Subtracting B:
Applying to the smaller triangle:
Multiplying by D:
Substituting from [1]:
Substituting values:
Operating:
H = 21.38 m
The height of the building is 21.38 m
