---
title: "A rock is thrown from the roof of a building, with an initial velocity of \\( 10 \\) \\( \\text{m/s} \\) at an angle of \\( 30^{\\circ} \\) above the horizontal. The rock is observed to strike the ground \\( 43 \\) \\( \\text{m} \\) from the base of the building. What is the height of the building assuming no air resistance?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/88583/"
date_modified: "2026-08-18T02:40:10+00:00"
---

# A rock is thrown from the roof of a building, with an initial velocity of \( 10 \) \( \text{m/s} \) at an angle of \( 30^{\circ} \) above the horizontal. The rock is observed to strike the ground \( 43 \) \( \text{m} \) from the base of the building. What is the height of the building assuming no air resistance?

A rock is thrown from the roof of a building, with an initial velocity of \( 10 \) \( \text{m/s} \) at an angle of \( 30^{\circ} \) above the horizontal. The rock is observed to strike the ground \( 43 \) \( \text{m} \) from the base of the building. What is the height of the building assuming no air resistance?

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/88583/*
