Answer: 88 units²
Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:
sinФ= opposite/hypotenuese
cosФ= adjancent over hypotneuse
tanФ= opposite/adjecent.
angle is 34
In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"
From here, we can set up this equation to find the area->
- If, tanФ= opp/adj and opp= ? and adj=16
- tan34°*16=opp-------->≈11 units
Now we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!