Kari is flying a kite. she releases 50 feet of string. what is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? round to the nearest tenth.

14.2 feet
17.1 feet
47.6 feet
55.2 feet

(will mark brainliest)

Here BD & AB represent the string.

Now in triangle DBC, CD is opposite to 25° and BD = 50 is the hypotenuse.

The trigonometry ratio associating opposite and hypotenuse is sin.

So we have

Multiplying by 50 on both sides

CD = 50 × sin 25°

CD = 21.13 feet

Now in triangle ABC, BC = opposite and AB =50 is hypotenuse with respect to 45°.

So we have

Multiplying by 50 on both sides

AC = 50 × sin45°

AC = 35.36 feet

Hence the kite moves up by = 35.36-21.13 = 14.23 feet.

The approximate difference in the height of the kite is 14.2 feet

Option a) is the right answer.

2

step-by-step explanation:

stethere all not eveanp-by-step explanation: