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Answered on 17 Apr Learn Some Applications of Trigonometry
Sadika
Let's denote the height of the hill as hh meters. We can set up a right triangle to represent the situation.
From the given information:
In the right triangle formed by the hill, tower, and the ground, the height of the hill, the height of the tower, and the distance from the foot of the tower to the foot of the hill form the sides of the triangle.
Using trigonometric ratios, we can set up equations based on the given angles and the known side lengths:
read lessAnswered on 17 Apr Learn Some Applications of Trigonometry
Sadika
To find the height of the tower, we can use trigonometry.
read lessAnswered on 17 Apr Learn Some Applications of Trigonometry
Sadika
Given:
We can form two right triangles to represent the situation.
For the top of the 8 m tall building: tan(30∘)=8dtan(30∘)=d8
For the bottom of the 8 m tall building: tan(45∘)=8dtan(45∘)=d8
We can solve these two equations simultaneously to find the values of hh and dd.
First, let's solve for dd using either equation (they are the same):
tan(30∘)=8dtan(30∘)=d8
13=8d3
1=d8
d=83d=83
Now, using the value of dd, we can find the height of the multi-storeyed building using either equation:
tan(30∘)=hdtan(30∘)=dh
13=h833
1=83
h
h=8h=8
So, the height of the multi-storeyed building is 8 meters, and the distance between the two buildings is 8383
meters.
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Answered on 17 Apr Learn Some Applications of Trigonometry
Sadika
Let's denote:
Given:
read lessAnswered on 17 Apr Learn Introduction to Trigonometry
Sadika
Given:
We need to compute the value of:
Answered on 17 Apr Learn Introduction to Trigonometry
Sadika
Given:tan(θ)+cot(θ)=5
We need to find the value of:
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Answered on 17 Apr Learn Introduction to Trigonometry
Sadika
As the angle increases from 0° to 90°, the value of the cosine function will decrease.
Here's why:
This behavior is evident if you look at the unit circle representation of trigonometric functions. As you move counterclockwise from the initial point (1, 0) on the unit circle (corresponding to 0∘0∘), the x-coordinate (which represents the cosine function) decreases until it reaches 0 at 90∘90∘.
So, as the value of the cosine function increases from 0∘0∘ to 90∘90∘, its actual value decreases from 1 to 0.
Answered on 17 Apr Learn Introduction to Trigonometry
Sadika
Given:
We need to find all other values of trigonometric ratios based on this information.
read lessAnswered on 17 Apr Learn Introduction to Trigonometry
Sadika
To find the value of
read lessTake Class 10 Tuition from the Best Tutors
Answered on 17 Apr Learn Introduction to Trigonometry
Sadika
Given:
We need to prove that
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