Learn Class 10 Math - Some Applications of Trigonometry

Trigonometry refers to the statement that includes the relationship between the sides and right angles. Major trigonometric ratios are sin, cos, cot, tan, cosine, sec, etc.

Main functions of trigonometry

Generally, there are three main functions of trigonometry. These functions are given below:

• Sin
• Cos
• Tan

Applications

• Trigonometry is used in wide terms.
• Whether you talk about architecture, survey, physics, and other terms.
• Trigonometry is used for astronomy, navigation, electronics, physical science, and acoustics.
• Trigonometry is also used to check the length of the rivers and mountains height.
• With the help of spherical trigonometry, all the lunar, solar, and stellar locations will get calculated.

Problem

The distance from where one can observe the building is 90 ft. And from the base with an angle of 35 degrees as elevation to the top of the building. Calculate the height?

Answer

It is given that the distance from the building to its base is 90. And the elevation angle from to the building top is 35°.

Let us see the height of the building with the help of trigonometric formulas. We have the angle & the adjacent side length. So, with the help of a specific formula.

tan 35°= (h/90)

h = (90) (tan 35°)

h = (90) (0.7002)

h = 63.018 ft