Question

Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

Answer 1

Answer: Around 68.0858 m

Explanation:

• Set the height of 37°-53°-90° triangle as x
• Set the height of 50°-40°-90° triangle as y
• The horizontal side both triangles share = 35

To find x To find y

`tan(37)=(x)/(35) \\\\35tan(37)=x\\\\x=26.37439...`
`tan(50)=(y)/(35) \\\\35tan(50)=y\\\\y=41.7113757...`

To find the height of the building, add the x-value and y-value:

`x+y=26.3744+41.7114=68.0858`

I hope this is correct o_o