Question

A bird cage hangs 5 feet off the floor in Mr. Gruber's kitchen with Judy the canary chirping away inside it. Paddington the cat is crouched on the floor, ready to pounce and attack with his declawed paws! He's been eye balling Judy from an angle of elevation of 38 degrees. How far will Paddington need to jump to reach Judy? (Answers to three decimal places please.)

Answer 1

3.906m

Step-by-step explanation:

from the topic angle of elevation and depression

putting down the above question diagrammatically

we have a triangle

The angle of elevation pad looking up = 38°

using the tangent rule TOA

TAN∅= OPPOSITE/ADJACENT

we have

tan 38° = x/5

x= tan 38° × 5

x= 0.781 * 5

x = 3.906m