Question

A 7-meter concrete wall is to be constructed on an erosion prone area.
Diagonal braces were put to hold the formworks, what is the distance of the
braces from the bottom tip to the top tip if it is inclined 35°?From the top of a beach hotel, a resident is observing a bowrider boat
passing by from an angle of depression of 15o. If the boat is 450 meters away,
what is the height of the hotel from where the observer?

Answer 1

Given :  A 7-meter concrete wall is to be constructed on an erosion prone area.

Diagonal braces were put to hold the formworks,  

To Find : what is the distance of the

braces from the bottom tip to the top tip if it is inclined 35°

Solution:

Height of Wall = 7 m

Angle of inclination  = 35 °  

Sin angle = Height / Hypotenuse

=> Sin  35 °  = Height of Wall / Brace length

=> Sin  35 °  =7 / Brace length

=> Brace length = 12.2 m

Horizontal Distance =    7 / tan35°  = 10  m

Tan 15°  = Height of hotel / 450

=> Height of hotel = 120.6 m

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