A kite is flying 99 ft off the ground, and it's strong is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Around your answer to the nearest tenth

the length of the string=150.9

Step-by-step explanation:

height of a kite=99 ft

angle of elevation =41

use  formula

sin 41= opposite/hypotenuse( opp is the elevation, hypotenuse is the string)

sin 41 = 99/hyp.

hyp.=99/sin41

hyp= (99)/(0.65605902)

hyp.=150.9( rounded to the nearest tenth)

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)