Question

Please help!!!!

Answer 1

Answer:
question (1)
height of building = 308 ft
question (2)
cos 67.11 = 7/18

Explanation:
question (1)
Taking a look at the triangle, we can see that it is a right-angled triangle. This means that we can apply the special trigonometric identities.
The one we will use here is:
tan Θ = opposite / adjacent 
where:
Θ = 72
the opposite side is the height of the building
the adjacent side = 100 ft
Substitute to get the height as follows:
tan(72) = height / 100
height = tan(72)*100 = 307.76 which is approximately 308 ft

question (2):
We are given that:
cos Θ = 7/18
therefore:
Θ = cos^-1(7/18)
Θ = 67.114 
approximating to the nearest tenth, we would find that:
Θ = 67.11°

Hope this helps :)