4. suppose a security light is set into the ground and aims its light at the top of the building. the angle of elevation of the light is 60 degrees. the building is 9 feet tall. a. what is the distance of the light's base from the bottom of the building? use a trig function to calculate the distance. b. how long is the light beam? light beam. use a trig function to calculate the length of the

a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft

b) The length of the beam is approximately: 10.4 ft

Step-by-step explanation:

First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:

tan(angle) = opposite side / adjacent side

We know the angle and the opposite side and we want to find the adjacent side:

adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft

In order to find the length of the light  beam, we use Pythagoras Theorem:

leg1²+leg2² = hyp²

Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:

hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

yes

step-by-step explanation: