A cat is in the top of a tree. You are standing 14 m away from the tree. The angle of elevation to the cat is 61 degrees. How long does the ladder need to be for you to get the cat? 3 decimal answer

Question

Please answer in 3 decimals

Answer 1

this is a Trig problem

it will be better to draw the Right Triangle as following the above problem

In this Right triangle you have to calculate the hypotenuse as they asking , it is the side opposite to the 90deg angle of this triangle. and the angle of elevation is 61deg and and adjacent side is 14 mt.

Lets say Hypotenuse= h

so as we remember soh cah toa,

Cos 61deg= adjacent/hypotenuse=14/ h

h = 14/ cos61 degree

use your calculator and get the value in Degree

Answer 2

Right triangle trig

cos 61 = 14/x

x • cos 61 = 14

x = 14 / cod 61

remember to have your calculater in degree mode