Applications of Trigonometry - Examples & Applications

Interactive Simulators

Interactive Triangle Solver

Use this tool to solve right triangles given two sides.

Base (b)4

Height (a)3

Hypotenuse (c):5.00

Angle A:36.9°

Angle B:53.1°

Area:6.00

Interactive Oblique Triangle Solver

Explore different cases (AAS, SAS, SSS) and visualize the resulting triangle.

Angle A40

Angle B60

Side a (opp A)10

Results

A: 40.0°a: 10.00

B: 60.0°b: 13.47

C: 80.0°c: 15.32

Solved Problems

Problem 1: A surveyor is standing 50 meters from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as

71.5^\circ

. How tall is the tree?

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Problem 2: Two ships leave a port at 9:00 AM. Ship A travels at a bearing of

\text{N } 53^\circ \text{ W}

at 12 mph, and Ship B travels at a bearing of

\text{S } 67^\circ \text{ W}

at 16 mph. How far apart are they at 12:00 PM?

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Problem 3: Solve

\triangle ABC

where

\angle A = 40^\circ, a = 20, c = 25

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Problem 4: Find the area of a triangle with sides 7, 8, and 9.

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