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Sagot :
Answer:
height : 150 feet
Step-by-step explanation:
[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
using tan rule:
[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]
[tex]\hookrightarrow \sf b = tan(62)*80[/tex]
[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]
Answer:
[tex]\approx 150 \: ft[/tex]
Step-by-step explanation:
recall sohcahtoa
- sin(x)=opposite/hypotenuse
- cos(x)=adjacent/hypotenuse
- tan(x)=opposite/adjacent
here,
- The adjacent side is 80 ft
- x°=62°
- The opposite side is the height
To find:
- The opposite side or the height
since we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,
So,
[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]
[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]
using calculator,we acquire
[tex] \implies \: h \approx 150 \: ft[/tex]
hence, the height of the building is approximately 150ft
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