Answer:
Height = 17.31821 feet
Step-by-step explanation:
<u><em>Explanation</em></u>
<u><em>From graph</em></u>
Given angle θ = 6.5° and a = 152 feet
we need to find the height (h)
By using the tangent rule
Cross multiplication , we get
b = 152 × tan 6.5°
b = 152 × 0.113935
b = 17.31821 feet
Height = 17.31821 feet
Given:
Height of right triangle = 9 mi
Hypotenuse = 17.5 mi
Base of right triangle = Distance across lake
To find:
The distance across the lake.
Solution:
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
Subtract 81 from both sides.
Taking square root on both sides.
⇒ base = 15
The distance across the lake 15 mi.