Answer:
1: 36° 2: 122° 3: 122° 4: 38°
Step-by-step explanation:
First start out by getting 2 and 3. so 58+angle 3 has to sum to 180° since they are supplementary and are a straight line. So 180-58=122. Angle 2 is the same since theyre vertical. then since a triangle has 180° total, you subtract from 180 to find the final angle measurement.
Tanα=h/x, tanß=h/(x+88)
solving both for x
x=h/tanα, x=h/tanß-88, since x=x
h/tanα=h/tanß-88
h/tanß-h/tanα=88
(htanα-htanß)/(tanα*tanß)=88
h(tanα-tanß)/(tanα*tanß)=88
h=88(tanα*tanß)/(tanα-tanß)
Since α=32 and ß=22...
h=88(tan32*tan22)/(tan32-tan22)
h≈85.3 feet
Answer:
5 - 8 = -3
4 x -3 = -12
2 + -12 = -10
Step-by-step explanation: