Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

1.6-metre tall man stands 11 m from the base of a tree. He views the top of the tree at an
angle of elevation of 58°. How tall is the tree?


Sagot :

Answer:

17.60m

Step-by-step explanation

The set up is a right angled triangle

Given

angle of elevation = 58°

Distance of the man from the tree = adjacent = 11m

Required

Height of the tree h (Opposite)

Using the TOA identity

tan theta = opposite/adjacent

tan 58 = h/11

h = 11tan58

h = 11(1.6)

h = 17.60

Hence the tree is 17.60m tall

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.