passpadi

2021

Mathematics

POST UTME

The gradient of a straight line graph is 7. Find the angle the line makes with the y-axis.

A.

3.80°

B.

81.7°

C.

8.3°

D.

45°

Correct Answer: 8.3°

Explanation

gradient m=tanθ,m=?m = tan \theta, m = ?

then,

7=tanθ7 = tan \theta

θ=tan17=81.7\theta = tan^{-1}7 = 81.7

thus, the angle the line makes with the y-axis is 9081.7=8.390 - 81.7 = 8.3


gradient m=tanθ,m=?m = tan \theta, m = ?

then,

7=tanθ7 = tan \theta

θ=tan17=81.7\theta = tan^{-1}7 = 81.7

thus, the angle the line makes with the y-axis is 9081.7=8.390 - 81.7 = 8.3


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