A kite is flying 17 feet above ground on a string that is 25 feet long. What's the angle formed by the kite string and the ground? 47.16 34.22 42.840 40.22

Question

asked Jun 11, 2022 233k views

2 Answers

Mahdiyeh · Answer 1 · 2022-06-15T02:46:29+0000

Answer:

$\theta = 34.22^o$

Explanation:

Given

Height = 17

Length = 25

Required

The angle formed with the ground

To do this, we make use of the following:

$\tan(\theta) = (Height)/(Length)$

Where:

$\theta \to$ angle formed with the ground

So, we have:

$\tan(\theta) = (17)/(25)$

$\tan(\theta) = 0.68$

Take arctan of both sides

$\theta = \tan^(-1)(0.68)$

$\theta = 34.22^o$