Question

te : 1. Answer all the questions. 2. Each question carries 1 Mark.
3. If the slope of the line passing through the two points (2, 5) and (5, 8) is respectively by tan 8
(where 0° <O< 90°) in trignometry, then find angle ''​

Answer 1

Answer:

Step-by-step explanation:

45°

tanA=(8-5)/(5-2)=1

tanA=1

So, A=45°

Answer 2

The slope of the two points is 1 and the angle is $\theta=45^{\circ}$

Explanation:

Given that the two points $(2,5)$ and $(5,8)$

We need to determine the slope and the angle

The slope of the two points can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points, we get,

$m=\frac{8-5}{5-2}$

Subtracting the terms, we get,

$m=\frac{3}{3}$

Dividing, we have,

$m=1$

The slope of the two points is 1.

Now, we shall find the angle using the slope.

$tan \ \theta=1$

     $\theta= tan^{-1}1$

     $\theta= 45^{\circ}$

Thus, the angle is given by $\theta= 45^{\circ}$

Learn more:

(1) If the slope of the line passing through the two points (2, 5) and (5,8) is represented by tan theta (where 0 degrees < theta < 90 degrees) in trigonometry, then find the angle 'theta'​

brainly.in/question/12905214

(2) The slope of the line passing through the points A bracket 2, 3 (and 4, 5 is represented by tan theta where 0 degrees less than less than 90 degrees in trigonometry then find angle theta​

brainly.in/question/14732916