Question

Please help!!! question 2 ​

Answer 1

a)
`239.387\; meters`

b)
`93,720.0105 \;m^2`

Explanation:

You hid the figure for some reason so I am going by the description

AB represents the distance across the river

AC is on one side of the river

Points ABC form a right triangle with m∠C = 17°

The tangent of the angle of a right triangle can be found by the formula

`\tan \theta = (opposite)/(adjacent)`

where

opposite is the side opposite the angle

adjacent is the side adjacent to the angle

Given θ = 17°, adjacent = AC = 783 meters, opposite = AB to be determined

`\tan (17^\circ) = (AB)/(AC)\\\\AB = AC \cdot \tan(17^\circ)\\\\= 783 \cdot 0.30573\\\\= 239.387\; meters\\\\ANSWER (a)\\\\\\(b)\\Area = (1)/(2) \cdot b \cdot h`

where b is the base, h is the height of the triangle

here

b = AC = 783 m

h = AB = 239.387 m

`Area = (1)/(2) \cdot 783 \cdot 239.387 \\\\= 93720.0105\: m^2`