﻿ Sine, Cosine, Tangent Real World Applications. How to use SOHCAHTOA to calculate the height of trees, buildings etc.. Unfortunately, in the last year, adblock has now begun disabling almost all images from loading on our site, which has lead to mathwarehouse becoming unusable for adlbock users.

# Sine, Cosine, Tangent Applications

The Sine, Cosine and Tangent functions are often applied to real world scenarios.

##### Example 1

What is the height of the tree below?

$tan(16) = \frac{opp}{adj} \\ tan(16) = \frac{14}{\red x} \\ \red x = \frac{14}{tan(16)} \\ \red x = 48.8$

##### problem 1

$tan(55) = \frac{opp}{adj} \\ tan(55)= \frac{\red x }{ 57} \\ \red x = 57 \cdot tan(55) \\ \red x = 81.4$

##### Problem 2
Step 1

First, you should draw and label a picture of this word problem.

Step 2

The illustration:

Rest of Steps

Now, set up your trig ratio and solve for a side length:

##### Problem 3
Step 1

First, you should draw and label a picture of this word problem.

Step 2

The illustration:

Rest of Steps

Now, set up the tangent ratio and solve for a side length:

##### Problem 4
Step 1

First, you should draw and label a picture of this word problem.

Step 2

The illustration:

Rest of Steps

Now, set up your trig ratio and solve for a side length: