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ss7ja [257]
3 years ago
11

A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall

is the church?
Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Answer:

71.764  feet

Step-by-step explanation:

See attached the rough sketch for your reference

Step one;

Given data

The angle of elevation= 25°

From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent

Step two:

Applying SOH CAH TOA

tan∅= opp/adj

tan 25= opp/154

0.466= opp/154

cross multiply

0.466*154= opp

opp= height of church = 71.764  feet

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