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:

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

Learning Videos for 10th Grade Math - Some Applications of Trigonometry

Some Applications of Trigonometry Sample Questions for Class 10

Question 1

The radio club at school wants to install a large tower behind the school which will be taller than the trees. What would be a logical measurement unit to describe the height of the tower?

A. Millimeters

B. Kilometers

C. Meters

D. Centimeters

Question 2

Suchir throws a ball in the air vertically with a velocity of 40 feet per second. The ball's height above the ground can be modeled by the equation h(t)=-16t^2+40t+5 where h is the height in feet and t is time in seconds. When will the ball hit the ground?

A. 2.62 seconds

B. 3.9 seconds

C. 2.02 seconds

D. 3.77 seconds

Question 3

Shawn's class has been learning about rockets and is planning to launch a small model rocket of their own. The rocket will be launched from ground level, straight up into the air. The rocket does not have a parachute. The class has determined the theoretical height and time of the rocket's flight, as modeled by the following function.f(t) = -5t^2 + 100tFor this function, f(t) is the height of the rocket in meters, and t is the duration of the flight in seconds. When they actually fire the rocket, it lands 18 seconds after it was fired. Shawn was on top of a nearby structure that is 35 meters high. He measured that the rocket, as it ascended, passed him 0.5 seconds after it launched. Was the theoretical calculation correct, in terms of the maximum height of the rocket? If not, by how much did it over- or underestimate the rocket's maximum height?

A. The theoretical calculation was correct, the rocket reached a maximum height of 500 m.

B. The theoretical calculation underestimated the height by 140 m.

C. The theoretical calculation overestimated the height by 419 m.

D. The theoretical calculation overestimated the height by 176 m.

Question 4

P(A) = 0.2 that the Sun will shine today. P(B) = 0.002 that you will get 100% on your math test today. P(A and B) = 0.04. The two events are

A. independent.

B. not independent.

C. there is not enough information.

Question 5

What facts about the golf ball's trajectory can be determined directly from the vertex form? Choose all that apply.

A. The amount of time it was in the air for.

B. Its maximum height.

C. At what distance the maximum height occurred.

D. At what time the maximum height occurred.