Explore tens of thousands of sets crafted by our community.
Trigonometry in Real Life
8
Flashcards
0/8
Antenna placement and angle optimisation.
Engineers use trigonometry to calculate optimum angles for signal strength using the sine and cosine functions, depending on terrain and antenna height.
Determining the position of a star in the night sky using trigonometry.
Astronomers measure the altitude and azimuth of stars, applying trigonometric functions to these angles to calculate a star's precise location in the sky.
Architectural design involving arched doorways and windows.
Trigonometry helps architects design buildings with circular or elliptical arches by calculating curvatures and structural loads using trigonometric functions and principles.
Calculating the distance across a river without crossing it.
Trigonometry helps measure the width of a river by setting up a triangle from a certain point, measuring an angle and a base length, using the sine or cosine function depending on the given angle and lengths.
Measuring the size of an inaccessible land area, like a lake.
By setting up reference points around the lake and measuring angles and distances between these points, the area can be triangulated into smaller, measurable sections using trigonometry.
Determining the height of a tall building using its shadow length.
By measuring the length of the shadow and the angle of elevation of the sun, trigonometry (specifically the tangent function) can provide the height of the building through the equation .
Estimating the height of a mountain from a distance.
With a known distance from the mountain base and the angle of elevation to the peak, the height can be found using the tangent function: .
Navigating at sea using trigonometry for course plotting.
Sailors use trigonometry to find the direction and distance they need to travel by using angles from their current location to their destination, often employing the sine and cosine laws for non-right angles.
© Hypatia.Tech. 2024 All rights reserved.
