Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A mountain is 4 meters highbthe the angle of depression of an object from the top of the mountain is 30 depression. If the object is on the ground as the foot of the mountain,calculate the distance of the object and the foot of the mountain

Sagot :

Answer:

6.9

Step-by-step explanation:

The angle of depression of object from the top of the mountain = angle of elevation of the top of the mountain from the object = 30⁰ ( alternate angles ).

Let x be the distance of the object and the foot of the mountain

Given that the height of the mountain is 4m, then

using Trigonometric ratio,

tan 30⁰ = 4 / x

x = 4/tan 30⁰

x = 6.9282

x = 6.9 to the nearest tenth.