Laura bernett is 5 ft-4 inches tall. she stands 12 feet from a streetlight and casts a 5-foot-long shadow. how tall is the streetlight? give your answer to the nearest hundredth.

the height of the streetlight is 19.47 feet

Step-by-step explanation:

The height of Laura Bernett is 5 ft-4 inches.

12 inches = 1 foot

4 inches = 4/12 = 1/3 foot

Therefore, her height is

5 + 1/3 = 16/3 foot

The diagram of the scenario is shown in the attached photo

The right angle triangle ABC and EBD formed are similar.

h represents the height of the streetlight

Total length of AB = 12 + 5 = 17 feet

Considering triangle BDE,

To determine the angle formed, θ, we would apply trigonometric ratio

Tan θ = opposite side/adjacent side

Tan θ = (16/3)/5 = 1.067

θ = 46.86 degrees

Considering triangle ABC,

Tan θ = h/AB

Tan 48.86 = h/17

h = 17tan48.86 = 17 × 1.145

h = 19.465

To the nearest hundredth,

h = 19.47 feet

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.