The students in Mr. Collin’s class used a surveyor’s measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance.

Option A -The height of the building is 105 ft

Step-by-step explanation:

to get the height of the building, we calculate using SOH CAH TOA

TOA = OPPOSITE / ADJACENT

Tan 59° = h / 63

Height = tan 59° X  (63)

Height = 1.6643 X 63

Height = 104.85

Height = 105 ft

step-by-step explanation:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐