WILL MARK BRAINLIEST

A 6-foot-tall worker stands 40 feet away from a crumbling tower. The angle of elevation to the top of the tower is 30°, which is 15° less than in the tower’s original design. (Assume the worker’s height is approximately eye level).The angle of elevation to the top of the tower in the original design is ___. The distance between the worker’s eyes and the original top of the tower is ___ feet.

Part 1 (First blank)
a) 45 degrees
b) 30 degrees
c) 15 degrees

Part 2 (Second blank)
a) 57
b) 80
c) 40
d) 28

part 1 : 45

part 2: a

Step-by-step explanation:

part a is quite clear as it says the elevation is 15 deg more than 30 deg

part b:

distance between the tower and man = base = 40

angle of elevation = 45

hypotenuse = distance between the worker’s eyes and the original top of the tower

using pythagoras theorem,

hcos45 = 40

h=

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

if x = 1, then the answer is 3.5