A surveyor observes that point A is located on level ground 25 feet from a flag pole. The base of the flagpole represents point B. Approximate the height of the flagpole to the nearest tenth of a foot when the angle between the ground and the top of the flagpole is:.(a) 30° (b) 38° (c) 45°

Step-by-step explanation:

The set up will give a right angled triangle

Given

Distance of point A from the flagpole = 25feet

If angle of elevation is 30°

Required

Height of flagpole (opposite)

Using TOA

tan theta = opp/adj

tan30° = opp/25

opp = 25tan30°

opp = 14.4feet

Hence the height of flagpole when the angle of elevation is 30° is 14.4feet

If angle of elevation is 38°

Required

Height of flagpole (opposite)

Using TOA

tan theta = opp/adj

tan38° = opp/25

opp = 25tan38°

opp = 19.53feet

Hence the height of flagpole when the angle of elevation is 38° is 19.5feet

If angle of elevation is 45°

Required

Height of flagpole (opposite)

Using TOA

tan theta = opp/adj

tan45° = opp/25

opp = 25tan45°

opp = 25feet

Hence the height of flagpole when the angle of elevation is 45° is 25feet

exactly you go it

step-by-step explanation:

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )