Question

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

Answer 1

Answer: Around 68.0858 m

Step-by-step 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  

$tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...$                     $tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...$

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