Please help!!!!Question on image and question below. Find the missing value to nearest hundredth. cos____=7/18
Accepted Solution
A:
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°