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
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Free Some Applications of Trigonometry Olympiad Questions for Class 10
5 questions to build confidence. Choose an answer, then explore the explanation.
01
What facts about the golf ball's trajectory can be determined directly from the vertex form? Choose all that apply.
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The answer key for this sample question is not available yet.
02
A plane's fuel consumption depends upon the altitude it is flying at. If a plane is currently flying at 30,000 ft, a function can model how much its fuel consumption could improve or worsen by flying higher or lower than its current altitude. What would be the most appropriate domain for this function?
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The answer key for this sample question is not available yet.
03
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?
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The answer key for this sample question is not available yet.
04
A lost boater shoots a flare straight up into the air. The height of the flare, in meters, can be modeled by h(t)=-4.9t^2+20t+4, where t is the time in seconds since the flare was launched. At what time does the flare reach its highest point? What is the maximum height?
Show answer & explanation
Answer: A. Max height of 24.41 m at 2.04 s
The maximum occurs at t = -b/(2a) = -20/(2·-4.9) ≈ 2.04 s. Substituting gives about 24.41 m.
05
If the base camp on Mount Everest is at 5,400 m and the climbers have to go up another 3,400 m from there, what would be a logical estimate of the mountain's height?
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Answer: C. 8,800 m
5,400 m + 3,400 m = 8,800 m.
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