A bird at the top of a tree looks down at a field mouse with an angle of depression of 65°. If the field mouse is 30 meters from
the base of the tree, find the distance from the field mouse to the bird’s eyes. Round the answer to the nearest tenth. a. 29.6 m b. 50.0 m c. 64.3 m d. 71.0 m
1 answer:
The angle of depression made by the bird to the mouse is seen on the attached image. We can find the distance from the field mouse up to the bird's eye by getting the hypotenuse of the triangle formed. Using the CAH in Pythagorean Theorem, we will have:
cos ∅ = adjacent / hypotenuse
cos 65 = 30 / h
h = 70.98 ≈ 71 m ⇒ the answer is D
cos ∅ = adjacent / hypotenuse
cos 65 = 30 / h
h = 70.98 ≈ 71 m ⇒ the answer is D
You might be interested in
Answer: OPTION B.
Step-by-step explanation:
Given the following System of equations:
You can use the Elimination Method to solve it. The steps are:
1. You can mutliply the second equation by -3.
2. Then you must add the equations.
3. Solve for the variable "y".
Then:
4. Now that you know the value of the variable "y", you must substitute it into any original equation.
5. The final step is to solve for "x" in order to find its value.
Then:
Therefore, the solution is: