Please help with this math question

Mathematics

1 answer:

cestrela7 [59]3 years ago

4 0

The answer would be D because if you notice the ratios between coordinates and their placement, the first transformation divides the coordinates by 8, or dilating it by a scale factor of 1/8. Then, in the second transformation, each of the coordinates' x-values increased by four, so it moves over four spaces to the right.

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Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

irakobra [83]

Question:

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41° How tall is the lighthouse?

Answer:

The height of lighthouse is 52.2 yards

Solution:

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

$tan(\angle ACB) = \frac{Perpendicular}{Base}$