symbolipoint said:Also, since you have a 10 by 40 right-triangle, you should be able to find the measures of the other two angles, and therefore should be able to find the other angle measures in the diagram. Then, you have that lower right-triangle, on the bottom. The angle on the left is easy: the found angle above, the 12 degree, the desired lower angle - their sum is 90 degrees.
amd123 said:Oh thank god, if it works I owe you BUT i don't have any idea how to do that :(
Also are my calculations correct? When i subtract 8.6 from 10 i get 1.4 feet but when i take the sin of 6 degrees * h2 i get 4.2 feet for the height of the beam?
A trigonometric word problem is a mathematical problem that involves using trigonometric functions (such as sine, cosine, and tangent) to solve for unknown angles or sides of a triangle. These problems often involve real-world scenarios, such as finding the height of a building or the distance between two objects.
To solve a trigonometric word problem, you will need to identify the given information and determine which trigonometric function is needed to solve for the unknown. Then, use the given formula and plug in the known values to find the solution. It can also be helpful to draw a diagram to visualize the problem.
The most common trigonometric functions used in word problems are sine, cosine, and tangent. These functions represent the ratio of the sides of a right triangle and can be used to find missing angles or sides. Other less commonly used trigonometric functions include secant, cosecant, and cotangent.
One helpful tip for solving trigonometric word problems is to label the sides of the triangle with their corresponding lengths (opposite, adjacent, and hypotenuse) and remember the acronym SOH-CAH-TOA, which stands for sine = opposite/hypotenuse, cosine = adjacent/hypotenuse, and tangent = opposite/adjacent. It can also be useful to break the problem down into smaller steps and check your work as you go.
Some common mistakes to avoid when solving trigonometric word problems include mixing up the trigonometric functions, using the wrong ratios, forgetting to convert units, and not checking for extraneous solutions. It is important to double-check your work and make sure your solution makes sense in the context of the problem.