Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Answer:
29 m
Step-by-step explanation:
Since Jeff's coach is at the left of the platform and the platform at an angle of elevation of 37° and Jeff's parent's are on the right of the platform with the platform at an angle of elevation of 32°. The line of sight of Jeff's coach, the distance between Jeff's coach and parents and the line of sight of Jeff's parents form a triangle.
Since the platform is 10 m high, it is a perpendicular to the base of the triangle.
This perpendicular bisects the original triangle into two right angled triangles - one on the left and one on the right - with base angle 37° and 32° respectively.
Using trigonometric ratios with the opposite side to each angle the height of the platform from the ground (10 m) and the opposite angles 37° and 32° respectively, then the length of each base is gotten from
tan37° = 10/L and tan32° = 10/L' where L and L' are the lengths of each base of the two right angled triangles respectively.
So, L = 10/tan37° = 10/0.7536 = 13.3 m and L' = 10/tan32° = 10/0.6249 = 16 m.
The length d = L + L' is the distance between Jeff's coach and Jeff's parents
So, d = L + L'
= 13.3 m + 16 m
= 29.3 m
≅ 29 m to the nearest meter.
Note that we do not need the third angle in the triangle which is 100° the angle of separation between Jeff's coach and Jeff's parents which is at the base of the platform.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.