A person begins his journey from point A. Fro | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the starting point $A$ be at the origin $(0, 0)$ in a Cartesian coordinate system.Moving $800 \, m$ north takes the person to point $B(0, 800)

Vedclass · Accepted Answer

$1300$

Vedclass · Answer

(D) Let the starting point $A$ be at the origin $(0, 0)$ in a Cartesian coordinate system.Moving $800 \, m$ north takes the person to point $B(0, 800)$.Moving $500 \, m$ east from $B$ takes the person to point $C(500, 800)$.Moving $400 \, m$ north from $C$ takes the person to point $D(500, 800 + 400) = D(500, 1200)$.The direct distance from $A(0, 0)$ to $D(500, 1200)$ is given by the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.$d = \sqrt{(500 - 0)^2 + (1200 - 0)^2} = \sqrt{500^2 + 1200^2}$.$d = \sqrt{250000 + 1440000} = \sqrt{1690000}$.$d = 1300 \, m$.

$A$ person begins his journey from point $A$. From $A$,he moves $800 \, m$ towards north to reach point $B$. From $B$,he moves $500 \, m$ towards east to reach point $C$. From $C$,he moves $400 \, m$ towards north to reach point $D$. Find the direct distance in $m$ from $A$ to $D$.

Similar Questions

If $\Delta ABC \sim \Delta DEF$ for the correspondence $ABC \leftrightarrow DEF$,and given $AB = 8$,$AC = 10$,$DE = 12$,and $EF = 18$,find the perimeter of $\Delta DEF$.

In $\Delta ABC$,$m \angle A = 90^{\circ}$ and $m \angle B = 30^{\circ}$. Then,which of the following holds true?

$\Delta ABC$ and $\Delta XYZ$ are similar under the correspondence $ABC \leftrightarrow XZY$. If $AB = 6$,$XY = 12$,$YZ = 6$,and $ZX = 9$,find the perimeter of $\Delta ABC$.

In the given figure,if $PQRS$ is a parallelogram and $AB \parallel PS$,then prove that $OC \parallel SR$.

In $\Delta ABC$,$m \angle B = 90^{\circ}$ and $AB : AC = 24 : 25$. If $BC = 14$,find the perimeter of $\Delta ABC$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module