A 3 m rope is stretched from the top of a vertical tent pole and pegged into the ground so that it makes an angle of 50° with the ground. How far away from the pole is the rope pegged? Give your answer to the nearest centimetre

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Ответ:

kyliegriffis

21.04.2023

Mathematics

$d \approx 12.6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(8+4)^2+(6-2)^2}$ Add/Subtract: $d = \sqrt{(12)^2+(4)^2}$ Exponents: $d = \sqrt{144+16}$ Add: $d = \sqrt{160}$ Simplify: $d = 4\sqrt{10}$ Evaluate: d = 12.6491

Round: $d \approx 12.6$

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