Acat is watching a bird in a tree nearby. the tree is approximately 20 ft from the cat (ground distance). if the cat’s line of sight makes a 25° with the ground when he has his eye on the bird, how high up is the bird in the tree? a. draw a picture b. solve the problem, solve to the nearest ft.

The bird is approximately 9 ft high up in the tree

Explanation:

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

Therefore, we can apply special trigonometric functions

These functions are as follows:

Now, taking a look at our diagram, we can note the following:

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the tan function

This is done as follows:

which is 9 ft approximated to the nearest ft

Hope this helps :)

3

step-by-step explanation: