Question

Alice was flying a kite when a gust of wind caught the kite in a tree. Alice is standing 10 feet from the base of the

tree, looking up at her kite at an angle of 25°. If Alice is 5 feet tall, approximately how high is the kite off of the

ground?

A4.66

B 9.66

C 21.45

D 9.23

Answer 1

B. 9.66

Explanation:

To find how high the kite is off the ground, we will follow the steps below;

we will use trigonometric ratio to solve the problem. That is;

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = opposite / hypotenuse

tanФ = opposite / adjacent

from the diagram below

Ф = 25°

opposite = x

adjacent = 10 feet

The best trig ratio to use is tan

we can now proceed to insert the values into the formula

tanФ = opposite / adjacent

tan 25° =
`(x)/(10)`

cross-multiply

x = 10 tan25°

x ≈4.66 feet

height of the kite off of the ground = x + height of Alice

=4.66 + 5

=9.66 feet

Therefore, the kite is 9.66 feet high off of the ground