Question

application of trignometry

Answer 1

Applications of Trigonometry:

It may not have direct applications in solving practical issues but used in the various field. For example, trigonometry is used in developing computer music: as you are familiar that sound travels in the form of waves and this wave pattern through a sine or cosine function for developing computer music. Here are few applications where trigonometry and its functions are applicable.

Trigonometry to Measure Height of a building or a mountain:

Trigonometry is used to in measuring the height of a building or a mountain. The distance of a building from the viewpoint and the elevation angle can easily determine the height of a building using the trigonometric functions.

Example: The distance from where the building is observed is 90ft from its base and the angle of elevation to the top of the building is 35∘. Now find the height of the building.

Solution:

Given:

Distance from the building is 90feetfrom the building.

The angle of elevation from to the top of the building is 35∘.

To solve and find the height of the tower by recalling the trigonometric formulas. Here, the angle and the adjacent side length are provided. So, using the formula of tan.

tan35∘=OppositeSideAdjacentSide

tan35∘=h90

h=90×tan35∘

h=90×0.4738

h=42.64feet

Thus, the height of the building is 42.64feet

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Answer 2

Answer:

Applications of Trigonometry:

It may not have direct applications in solving practical issues but used in the various field. For example, trigonometry is used in developing computer music: as you are familiar that sound travels in the form of waves and this wave pattern through a sine or cosine function for developing computer music. Here are few applications where trigonometry and its functions are applicable.

Trigonometry to Measure Height of a building or a mountain:

Trigonometry is used to in measuring the height of a building or a mountain. The distance of a building from the viewpoint and the elevation angle can easily determine the height of a building using the trigonometric functions.

Example: The distance from where the building is observed is 90ft from its base and the angle of elevation to the top of the building is 35∘. Now find the height of the building.

Solution:

Given:

Distance from the building is 90feetfrom the building.

The angle of elevation from to the top of the building is 35∘.

To solve and find the height of the tower by recalling the trigonometric formulas. Here, the angle and the adjacent side length are provided. So, using the formula of tan.

tan35∘=OppositeSideAdjacentSide

tan35∘=h90

h=90×tan35∘

h=90×0.4738

h=42.64feet

Thus, the height of the building is 42.64feet

hope \: you \: like \: ithopeyoulikeit